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8 Gubkina St. Moscow,
119991, Russia
Tel.: +7(495) 984 81 41
Fax: +7(495) 984 81 39
Web site: www.mi-ras.ru
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Department of Theoretical Physics

| Seminars | History of the Department | Research Fields | Publications |
Staff
Slavnov Nikita Andreevich

Doctor Phys.-Math. Sci., Head of Department, Leading Scientific Researcher
office: 402; tel.: +7 (495) 984 81 41 * 39 73; e-mail: nslavnov@mi-ras.ru
Slavnov Nikita Andreevich
Aref'eva Irina Yaroslavna

Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher
office: 418; tel.: +7 (499) 941 01 87, +7 (495) 984 81 41 * 36 72; e-mail: arefeva@mi-ras.ru
Personal page: http://www.mi-ras.ru/~arefeva
Bykov Dmitrii Vladimirovich

Doctor Phys.-Math. Sci, Leading Scientific Researcher
office: 412; tel.: +7 (495) 984 81 41 * 37 91; e-mail: bykov@mi-ras.ru
Personal page: http://www.mi-ras.ru/~dbykov
Chekhov Leonid Olegovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 402; tel.: +7 (495) 984 81 41 * 39 73; e-mail: chekhov@mi-ras.ru
Matushko Mariya Georgievna

Candidate Phys.-Math. Sci., Scientific Researcher
e-mail: matushkom@mail.ru
Pavlov Vladimir Petrovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 402; tel.: +7 (495) 984 81 41 * 39 73; e-mail: pavlov@mi-ras.ru
Pogrebkov Andrei Konstantinovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 419; tel.: +7 (495) 984 81 41 * 37 92; e-mail: pogreb@mi-ras.ru
Slavnov Andrei Alekseevich

Doctor Phys.-Math. Sci., Professor, Academician of RAS, Chief Scientific Researcher
office: 403; tel.: +7 (495) 984 81 46, +7 (495) 984 81 41 * 37 91; e-mail: slavnov@mi-ras.ru
Zotov Andrei Vladimirovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 412; tel.: +7 (495) 984 81 41 * 39 73; e-mail: zotov@mi-ras.ru

Arutyunov Gleb Eduardovich

Candidate Phys.-Math. Sci., Out-Of-Staff Member
e-mail: arut@gft.mian.su
Frolov Sergei Anatol'evich

Candidate Phys.-Math. Sci., Out-Of-Staff Member
e-mail: frolovs@maths.tcd.ie

Zinoviev Yurii Mikhailovich (5.01.1948 – 14.01.2014)

Doctor Phys.-Math. Sci.

Principal fields of research: Distributions. Representation theory. Statistical physics.
Zinoviev Yurii Mikhailovich (5.01.1948 – 14.01.2014)
Top
Seminars
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
Seminar organizer: A. A. Slavnov; Seminar Secretary: A. V. Zotov
Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)
International workshop "Holography for NICA"
Seminar organizer: I. Ya. Aref'eva
Steklov Mathematical Institute of Russian Academy of Sciences
Top
History of the Department

The Department of Theoretical Physics was organized at the Steklov Mathematical Institute in 1947, with N. N. Bogolyubov as the Head of Department. N. N. Bogolyubov invited to the Department many of his students and colleagues and in 1992, after more then forty years, there were already three Departments based on the Department of Theoretical Physics, namely, the Departments of Mathematical Physics, of Statistical Mechanics, and of Quantum Field Theory. The Department of Quantum Field Theory was organized in 1969, and until 1992 the Head of the Department was M. K. Polivanov. Since 1992, the Head of the Department is A. A. Slavnov. In 2002, the Department of Quantum Field Theory was reorganized as the Department of Theoretical Physics.

From the beginning, the main research area in the Department is the development of quantum field theory, especially its mathematical tools. The researchers working in the Department made a fundamental contribution to the development of quantum field theory and putting this theory into shape of the consistent theory with its own specific methods. The works of N. N. Bogolyubov and his school are of the utmost importance for this, namely, the works on renormalization theory, on renormalization group, on axiomatic S-matrix theory, and on the theory of dispersion relations. The corresponding results were summed up in the following monographs:

N. N. Bogolyubov and D. V. Shirkov,
Theory of Quantized Fields, Moscow, Gosud. Izdat. Tekhn.-Teor. Lit, 1957, 442 p.

N. N. Bogolyubov, B. V. Medvedev, and M. K. Polivanov,
Problems of the Theory of Dispersion Relations, Moscow, Fiz. Mat. Giz., 1958, 203 p. (Current Problems in Mathematics).

N. N. Bogolyubov, A. A. Logunov, I. T. Todorov, and A. I. Oksak,
Axiomatic Approach in Quantum Field Theory, Moscow, Nauka, 1969, 424 p.

O. I. Zavialov,
Renormalized Feynman Diagrams, Moscow, Nauka, 1979, 317 p.

Starting from the 1960s, the main progress in quantum field theory is associated with the development of gauge field theory. The gauge field theory gives an opportunity to describe all the known types of particle interactions from a unified geometrical point of view. Based on gauge field theory, the consistent theory of strong, weak and electro-weak interactions was constructed, which is known as Standard Model. At present, the most active researches are connected with constructing the unified theory that incorporate all types of interactions, including gravitation, and be based on models of relativistic strings which generalize gauge field theory to lengthy systems.

Pioneering investigations in quantum theory of gauge fields were carried out in the Department. Based on relations between Green functions, A. A. Slavnov constructed gauge invariant renormalization procedure known as `SlavnovTaylor identities'. The first comprehensive exposition of the quantum gauge field theory was given in the monograph

A. A. Slavnov and L. D. Faddeev,
Introduction to Quantum Theory of Gauge Fields, Moscow, Nauka, 1978, 239 p.

Futher development of quantum field theory as whole is associated both with the perfection and profound study of methods of perturbation theory and with developing new methods which are not based on the perturbation expansions in terms of low coupling constant. Among these methods are lattice gauge theory, expansions in terms of number of colours in quantum chromodynamics, theory of completely integrable systems, and models of relativistic strings. The researchers working in the Department participate actively in these studies. Actual problems of quantum filed theory are discussed at the weekly working seminar of the Department. The members of the Department lecture at Moscow State University and Moscow Independent University, as well as are at the head of the students and the post graduate students works.

Top
Research Fields

The main directions of scientific activity of the Department are as follows: quantum field theory, gauge fields, superstrings and branes, general theory of systems with constraints, non-perturbative methods, lattice models, completely integrable systems, conformally invariant theories, and matrix models.

The following topics are under active investigations:

  • Problems of renormalization theory (A. A. Slavnov, I. Ya. Aref'eva, O. I. Zav'yalov).
  • Theories of superstrings and D-branes, duality between gauge theories and superstring models (I. Ya. Aref'eva, G. Ed. Arutyunov, S. A. Frolov).
  • Theory of systems with constraints (A. A. Slavnov, V. P. Pavlov).
  • Completely integrable classical and quantum systems (A. K. Pogrebkov, N. A. Slavnov, L. O. Chekhov).
  • Lattice models of quantum field theory (A. A. Slavnov, Yu. M. Zinoviev).

Recent publications

| by years | scientific publications | by types |


Articles

1. V. P. Pavlov, V. M. Sergeev, R. V. Shamin, TMF (to appear)  mathnet
2. I. Ya. Aref'eva, K. Rannu, P. S. Slepov, “Anisotropic Solutions for Holographic Heavy Quarks Model with External Magnetic Field”, TMF (to appear)  mathnet
3. I. Ya. Aref'eva, K. Rannu, P. S. Slepov, “Spatial Wilson Loops in Full Anisotropic Model”, TMF (to appear)  mathnet

   2021
4. Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov, “Quantised Painlevé monodromy manifolds, Sklyanin and Calabi–Yau algebras”, Adv. Math., 376 (2021), 107442 , 52 pp.  mathnet  crossref  isi  scopus
5. I.Ya. Arefeva, “Theoretical studies of the formation and properties of quark-gluon matter under conditions of high baryon densities attainable at the NICA experimental complex”, Phys. Part. Nucl, 2021 (to appear)

   2020
6. Leonid O. Chekhov, “Symplectic Structures on Teichmüller Spaces $\mathfrak T_{g,s,n}$ and Cluster Algebras”, Proc. Steklov Inst. Math., 309 (2020), 87–96  mathnet  crossref  crossref  isi  scopus
7. L. O. Chekhov, “Fenchel–Nielsen coordinates and Goldman brackets”, Russian Math. Surveys, 75:5 (2020), 929–964  mathnet  crossref  crossref  mathscinet
8. A. K. Pogrebkov, “Induced Dynamics”, J. Nonlinear Math. Phys., 27:2 (2020), 324–336  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
9. A. K. Pogrebkov, “Commutator identities and integrable hierarchies”, Theoret. and Math. Phys., 205:3 (2020), 1585–1592  mathnet  crossref  crossref  mathscinet  isi  scopus
10. A. K. Pogrebkov, “Multiplicative dynamical systems in terms of the induced dynamics”, Theoret. and Math. Phys., 204:3 (2020), 1201–1208  mathnet  crossref  crossref  mathscinet  isi  scopus
11. N. Slavnov, A. Zabrodin, A. Zotov, “Scalar products of Bethe vectors in the 8-vertex model”, JHEP, 2020:6 (2020), 123 , 53 pp., arXiv: 2005.11224  mathnet  crossref  mathscinet  isi (cited: 1)  scopus
12. N. A. Slavnov, Theoret. and Math. Phys., 204:3 (2020), 1216–1226  mathnet  crossref  crossref  mathscinet  isi  scopus
13. N. A. Slavnov, “Introduction to the nested algebraic Bethe ansatz”, SciPost Phys. Lect. Notes, 19 (2020) (Published online) , arXiv: 1911.12811  mathnet  crossref
14. A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Actions of the monodromy matrix elements onto $\mathfrak{gl}(m|n)$-invariant Bethe vectors”, J. Stat. Mech., 2020, 93104 , 31 pp.  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
15. N. A. Slavnov, “Introduction to the Algebraic Bethe Ansatz”, Geometric Methods in Physics XXXVIII (Białowieza, Poland, 2019), Trends Math., eds. P. Kielanowski, A. Odzijewicz, E. Previato, Birkhäuser, Cham, 2020, 363–371  mathnet  crossref  mathscinet  scopus
16. I. Ya. Aref'eva, K. Rannu, “Holographic renormalization group flow in anisotropic matter”, Theoret. and Math. Phys., 202:2 (2020), 272–283  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
17. Irina Aref'eva, Igor Volovich, “Gas of baby universes in JT gravity and matrix models”, Symmetry, 12:6 (2020), 975 , 17 pp., arXiv: 1905.08207  mathnet  crossref  isi  scopus
18. Irina Ya. Aref'eva, Alexander Patrushev, Pavel Slepov, “Holographic entanglement entropy in anisotropic background with confinement-deconfinement phase transition”, JHEP, 2020 (2020), 43 , 59 pp., arXiv: 2003.05847  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 3)
19. I. Ya. Aref'eva, “Holography for Nonperturbative Study of QFT”, Phys. Part. Nucl., 51:4 (2020), 489–496  mathnet  crossref  isi  scopus
20. I. Ya. Aref'eva, A. A. Golubtsova, E. Gourgoulhon, “On the Drag Force of a Heavy Quark via 5d Kerr-AdS Background”, Phys. Part. Nucl., 51:4 (2020), 535–539  mathnet  crossref  isi  elib  scopus
21. Dmitri V. Bykov, “Flag Manifold Sigma Models and Nilpotent Orbits”, Proc. Steklov Inst. Math., 309 (2020), 78–86  mathnet  crossref  crossref  mathscinet  isi  scopus
22. Ismail Achmed-Zade, Dmitri Bykov, “Ricci-flat metrics on vector bundles over flag manifolds”, Comm. Math. Phys., 376:3 (2020), 2309–2328 , arXiv: 1905.00412  mathnet  crossref  mathscinet  isi  scopus
23. Dmitri Bykov, Paul Zinn-Justin, “Higher spin $\mathfrak{sl}_2 R$-matrix from equivariant (co)homology”, Lett. Math. Phys., 110 (2020), 2435–2470 , arXiv: 1904.11107  mathnet  crossref  mathscinet  isi  scopus
24. M. Vasilyev, A. Zabrodin, A. Zotov, “Quantum-classical duality for Gaudin magnets with boundary”, Nuclear Phys. B, 952 (2020), 114931 , 20 pp., arXiv: 1911.11792  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
25. A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetrization of elliptic $R$-matrices”, J. Phys. A, 53:18 (2020), 185202 , 16 pp., arXiv: 1910.05712  mathnet  crossref  mathscinet  isi  scopus
26. I. A. Sechin, A. V. Zotov, “Integrable system of generalized relativistic interacting tops”, Theoret. and Math. Phys., 205:1 (2020), 1292–1303 , arXiv: 2011.09599  mathnet  crossref  crossref  mathscinet  isi  scopus
27. A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations”, J. Math. Phys., 61 (2020), 103504 , 9 pp., arXiv: 1910.01814  mathnet  crossref  mathscinet  isi  scopus
28. M. Vasilyev, A. Zabrodin, A. Zotov, “Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary”, J. Phys. A, 53:49 (2020), 494002 , 20 pp., arXiv: 2006.06717  mathnet  crossref  isi  scopus
29. Gleb E. Arutyunov, Enrico Olivucci, “Hyperbolic Spin Ruijsenaars–Schneider Model from Poisson Reduction”, Proc. Steklov Inst. Math., 309 (2020), 31–45  mathnet  crossref  crossref  isi  scopus (cited: 1)
30. Sergey A. Frolov, “$T\overline T$ Deformation and the Light-Cone Gauge”, Proc. Steklov Inst. Math., 309 (2020), 107–126  mathnet  crossref  crossref  isi  scopus (cited: 1)
31. M. G. Matushko, “Calogero–Sutherland system at a free fermion point”, Theoret. and Math. Phys., 205:3 (2020), 1593–1610  mathnet  crossref  crossref  isi  scopus

   2019
32. L. Chekhov, P. Norbury, “Topological recursion with hard edges”, Int. J. Math., 30:3 (2019), 1950014 , 29 pp., arXiv: 1702.08631  mathnet  crossref  mathscinet  zmath  isi  scopus
33. Andrei Pogrebkov, “Hirota Difference Equation and Darboux System: Mutual Symmetry”, Symmetry, 11:3 (2019), 436 , 11 pp.  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
34. A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “New symmetries of ${\mathfrak{gl}(N)}$-invariant Bethe vectors”, J. Stat. Mech., 2019 (2019), 044001 , 24 pp., arXiv: 1810.00364  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 6)  scopus (cited: 7)
35. A. N. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Bethe vectors for orthogonal integrable models”, Theoret. and Math. Phys., 201:2 (2019), 1543–1562 , arXiv: 1906.03202  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)
36. S. Belliard and N. A. Slavnov, “Scalar Products in Twisted XXX Spin Chain. Determinant Representation”, SIGMA, 15 (2019), 066 , 30 pp., arXiv: 1906.06897  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 3)
37. S. Belliard, N. A. Slavnov, “Why scalar products in the algebraic Bethe ansatz have determinant representation”, JHEP, 2019:10 (2019), 103 , 17 pp., arXiv: 1908.00032  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 4)
38. Dmitry S. Ageev, Irina Ya. Aref'eva, “When things stop falling, chaos is suppressed”, JHEP, 2019:1 (2019), 100 , 9 pp., arXiv: 1806.05574  mathnet  crossref  mathscinet  isi (cited: 6)  scopus (cited: 6)
39. Irina Aref'eva, Kristina Rannu, Pavel Slepov, “Orientation dependence of confinement-deconfinement phase transition in anisotropic media”, Phys. Lett. B, 792 (2019), 470–475  mathnet  crossref  isi (cited: 8)  scopus (cited: 7)
40. Irina Ya. Aref'eva, Anastasia A. Golubtsova, Giuseppe Policastro, “Exact holographic RG flows and the $A_1\times A_1$ Toda chain”, JHEP, 2019:5 (2019), 117 , 50 pp., arXiv: hep-th/1803.06764  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)
41. I. Ya. Aref'eva, I. V. Volovich, “Quasi-averages in Random Matrix Models”, Proc. Steklov Inst. Math., 306 (2019), 1–8  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
42. Irina Arefeva, Mikhail Khramtsov, Maria Tikhanovskaya, Igor Volovich, “Replica-nondiagonal solutions in the SYK model”, JHEP, 2019 (2019), 113 , 59 pp., arXiv: 1811.04831  mathnet  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 12)
43. I. Ya. Aref'eva, “Holographic renormalization group flows”, Theoret. and Math. Phys., 200:3 (2019), 1313–1323  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)
44. I. Ya. Aref'eva, I. V. Volovich, M. A. Khramtsov, “Revealing nonperturbative effects in the SYK model”, Theoret. and Math. Phys., 201:2 (2019), 1583–1603  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)
45. Irina Aref'eva, Igor Volovich, “Spontaneous symmetry breaking in fermionic random matrix model”, JHEP, 2019 (2019), 114 , 12 pp., arXiv: 1902.09970  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)
46. I. Ya. Aref'eva, “Holographic Entanglement Entropy for Heavy-Ion Collisions”, Phys. Part. Nucl. Lett., 16:5 (2019), 486–492  mathnet  crossref  isi (cited: 3)  scopus (cited: 3)
47. D. S. Ageev, I. Ya. Aref'eva, A. V. Lysukhina, “Wormholes in Jackiw–Teitelboim gravity”, Theoret. and Math. Phys., 201:3 (2019), 1779–1792  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
48. Irina Aref'eva, Kristina Rannu, Pavel Slepov, “Cornell potential for anisotropic QGP with non-zero chemical potential”, The XXIV International Workshop “High Energy Physics and Quantum Field Theory” (QFTHEP 2019), EPJ Web of Conf., 222, 2019, 3023 , 6 pp.  mathnet  crossref
49. Irina Aref'eva, “Theoretical Studies of Heavy Ion Collisions via Holography”, The XXIV International Workshop “High Energy Physics and Quantum Field Theory” (QFTHEP 2019), EPJ Web of Conf., 222, 2019, 1008 , 11 pp.  mathnet  crossref
50. Dmitri Bykov, “Flag manifold $\sigma$-models: The $\frac1{N}$-expansion and the anomaly two-form”, Nuclear Phys. B, 941 (2019), 316–360 , arXiv: 1901.02861  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 4)
51. A. Grekov, A. Zabrodin, A. Zotov, “Supersymmetric extension of qKZ-Ruijsenaars correspondence”, Nuclear Phys. B, 939 (2019), 174–190 , arXiv: 1810.12658  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 4)
52. Yu. Chernyakov, S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Generalized Calogero and Toda models”, JETP Letters, 109:2 (2019), 136–143  mathnet  crossref  crossref  isi  elib  scopus
53. I. A. Sechin, A. V. Zotov, “${\rm GL}_{NM}$ quantum dynamical $R$-matrix based on solution of the associative Yang–Baxter equation”, Russian Math. Surveys, 74:4 (2019), 767–769 , arXiv: 1905.08724  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus
54. T. Krasnov, A. Zotov, “Trigonometric Integrable Tops from Solutions of Associative Yang–Baxter Equation”, Ann. Henri Poincaré, 20:8 (2019), 2671–2697 , arXiv: 1812.04209  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
55. A. V. Zotov, “Relativistic interacting integrable elliptic tops”, Theoret. and Math. Phys., 201:2 (2019), 1563–1578 , arXiv: 1910.08246  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 2)
56. A. Grekov, I. Sechin, A. Zotov, “Generalized model of interacting integrable tops”, JHEP, 2019:10 (2019), 81 , 33 pp., arXiv: 1905.07820  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 4)
57. M. Vasilyev, A. Zotov, “On factorized Lax pairs for classical many-body integrable systems”, Rev. Math. Phys., 31:6 (2019), 1930002 , 45 pp., arXiv: 1804.02777  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 2)

   2018
58. Leonid Chekhov, Marta Mazzocco, “Colliding holes in Riemann surfaces and quantum cluster algebras”, Nonlinearity, 31:1 (2018), 54–107 , arXiv: 1509.07044v4  mathnet  crossref  mathscinet  isi (cited: 7)  scopus (cited: 6)
59. J. Ambjørn, L. Chekhov, Y. Makeenko, “Perturbed generalized multicritical one-matrix models”, Nuclear Phys. B, 928 (2018), 1–20  mathnet  crossref  mathscinet  isi  scopus
60. Jan Ambjørn, Leonid O. Chekhov, “Spectral curves for hypergeometric Hurwitz numbers”, J. Geom. Phys., 132 (2018), 382–392  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)
61. R. Ch. Kulaev, A. K. Pogrebkov, A. B. Shabat, “Darboux system: Liouville reduction and an explicit solution”, Proc. Steklov Inst. Math., 302 (2018), 250–269  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  scopus (cited: 3)
62. A. K. Pogrebkov, “Higher Hirota difference equations and their reductions”, Theoret. and Math. Phys., 197:3 (2018), 1779–1796  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
63. R. Ch. Kulaev, A. K. Pogrebkov, A. B. Shabat, “Darboux system as three-dimensional analog of Liouville equation”, Russian Mathematics, 62:12 (2018), 50–58  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
64. A. A. Slavnov, “Renormalizability and unitarity of the Englert–Broute–Higgs–Kibble model”, Theoret. and Math. Phys., 197:2 (2018), 1611–1614  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
65. A. Hutsalyuk, A. Liashyk, S.Z. Pakuliak, E. Ragoucy, N.A. Slavnov, “Norm of Bethe vectors in models with $\mathfrak{gl}(m|n)$ symmetry”, Nuclear Phys. B, 926 (2018), 256–278 , arXiv: 1705.09219  mathnet  crossref  mathscinet  isi (cited: 6)  elib  scopus (cited: 4)
66. Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “Scalar products and norm of Bethe vectors for integrable models based on $U_q(\widehat{\mathfrak{gl}}_n)$”, SciPost Phys., 4 (2018), 6 , 30 pp., arXiv: 1711.03867  mathnet  crossref  isi (cited: 9)
67. A. Liashyk, N. A. Slavnov, “On Bethe vectors in $\mathfrak{gl}_3$-invariant integrable models”, Journal of High Energy Physics, 2018, 2018:18 , 31 pp., arXiv: 1803.07628  mathnet  crossref  mathscinet  isi (cited: 11)  scopus (cited: 11)
68. Samuel Belliard, Nikita A. Slavnov, Benoit Vallet, “Modified Algebraic Bethe Ansatz: Twisted XXX Case”, SIGMA, 14 (2018), 54 , 18 pp., arXiv: 1804.00597  mathnet (cited: 6)  crossref  mathscinet  isi (cited: 8)  scopus (cited: 7)
69. S. Belliard, N. A. Slavnov, “A note on $\mathfrak{gl}_2$-invariant Bethe vectors”, JHEP, 2018 (2018), 31 , 14 pp., arXiv: 1802.07576  mathnet  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)
70. S. Belliard, N. A. Slavnov, B. Vallet, “Scalar product of twisted XXX modified Bethe vectors”, J. Stat. Mech., 2018:9 (2018), 93103 , 28 pp., arXiv: 1805.11323  mathnet  crossref  mathscinet  isi (cited: 3)  scopus (cited: 2)
71. N. A. Slavnov, “Determinant representations for scalar products in the algebraic Bethe ansatz”, Theoret. and Math. Phys., 197:3 (2018), 1771–1778  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  adsnasa  isi  elib  scopus
72. D. S. Ageev, I. Ya. Aref'eva, “Holographic non-equilibrium heating”, JHEP, 2018:3 (2018), 103 , 19 pp., arXiv: 1704.07747  mathnet  crossref  mathscinet  isi (cited: 7)  scopus (cited: 6)
73. D. S. Ageev, I. Ya. Aref'eva, A. A. Golubtsova, E. Gourgoulhon, “Thermalization of holographic Wilson loops in spacetimes with spatial anisotropy”, Nuclear Phys. B, 931 (2018), 506–536  mathnet  crossref  mathscinet  isi (cited: 4)  scopus (cited: 4)
74. Irina Aref'eva, Kristina Rannu, “Holographic anisotropic background with confinement-deconfinement phase transition”, JHEP, 5 (2018), 206 , 56 pp., arXiv: 1802.05652  mathnet  crossref  mathscinet  isi (cited: 23)  scopus (cited: 20)
75. I. Ya. Aref'eva, I. V. Volovich, “Notes on the SYK model in real time”, Theoret. and Math. Phys., 197:2 (2018), 1650–1662  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  elib  scopus (cited: 8)
76. I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemtsev, “Evolution of holographic entropy quantities for composite quantum systems”, Theoret. and Math. Phys., 197:3 (2018), 1838–1844  mathnet  crossref  crossref  zmath  adsnasa  isi  elib  scopus
77. Irina Aref'eva, Mikhail Khramtsov, Maria Tikhanovskaya, “On $1/N$ diagrammatics in the SYK model beyond the conformal limit”, 20th International Seminar on High Energy Physics QUARKS-2018 (Valday, Russia, 27 May - 02 June, 2018), EPJ Web of Conf., 191, 2018, 06008 , 8 pp.  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)
78. Irina Aref'eva, Mikhail Khramtsov, Maria Tikhanovskaya, Igor Volovich, “On replica-nondiagonal large $N$ saddles in the SYK model”, 20th International Seminar on High Energy Physics (QUARKS-2018) (Valday, Russia, 27 May - 02 June, 2018), EPJ Web of Conf., 191, 2018, 06007 , 8 pp.  mathnet  crossref  mathscinet  isi (cited: 3)  scopus (cited: 4)
79. Irina Aref'eva, “Holography for Heavy-Ion Collisions at LHC and NICA. Results of the last two years”, 20th International Seminar on High Energy, EPJ Web of Conf., 191, 2018, 05010 , 8 pp.  mathnet  crossref  isi (cited: 7)  scopus (cited: 8)
80. Dmitry Ageev, Irina Aref'eva, Andrey Bagrov, Mikhail I. Katsnelson, “Holographic local quench and effective complexity”, JHEP, 2018:8 (2018), 71 , 30 pp., arXiv: 1803.11162  mathnet  crossref  mathscinet  zmath  isi (cited: 18)  scopus (cited: 20)
81. Phys. Part. Nucl., 49:5 (2018), 963–965  mathnet  crossref  isi  elib  scopus
82. D. V. Bykov, “The $1/N$-expansion for flag-manifold $\sigma$-models”, Theoret. and Math. Phys., 197:3 (2018), 1691–1700  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus (cited: 2)
83. Dmitri Bykov, “Ricci-flat metrics and Killing–Yano tensors”, QUARKS-2018, EPJ Web of Conf., 191, 2018, 06010 , 8 pp.  mathnet  crossref  isi  scopus
84. I. Sechin, A. Zotov, “R-matrix-valued Lax pairs and long-range spin chains”, Phys. Lett. B, 781 (2018), 1–7 , arXiv: 1801.08908  mathnet  crossref  mathscinet  isi (cited: 7)  scopus (cited: 7)
85. A. Grekov, A. Zotov, “On $R$-matrix valued Lax pairs for Calogero–Moser models”, J. Phys. A, 51 (2018), 315202 , 26 pp., arXiv: 1801.00245  mathnet  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)
86. A. V. Zabrodin, A. V. Zotov, “Selfdual form of RuijsenaarsSchneider models and ILW equation with discrete Laplacian”, Nuclear Phys. B, 927 (2018), 550–565 , arXiv: 1711.01036  mathnet  crossref  mathscinet  isi (cited: 4)  scopus (cited: 4)
87. A. V. Zotov, “Calogero–Moser model and $R$-matrix identities”, Theoret. and Math. Phys., 197:3 (2018), 1755–1770  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib  scopus (cited: 4)
88. S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Quasi-compact Higgs bundles and Calogero–Sutherland systems with two types of spins”, J. Math. Phys., 59:10 (2018), 103509 , 36 pp., arXiv: 1712.08851  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 5)
89. Gleb Arutyunov, Rob Klabbers, Sergei Savin, “Four-point functions of all-di erent-weight chiral primary operators in the supergravity approximation”, JHEP, 2018:9 (2018), 23 , 40 pp.  mathnet  crossref  mathscinet  isi (cited: 7)  scopus (cited: 7)
90. Gleb Arutyunov, Rob Klabbers, Sergei Savin, “Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation”, JHEP, 2018 (2018), 118 , 12 pp.  mathnet  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 11)

   2017
91. L. O. Chekhov, M. Mazzocco, “On a Poisson homogeneous space of bilinear forms with a Poisson–Lie action”, Russian Math. Surveys, 72:6 (2017), 1109–1156  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
92. Leonid O. Chekhov, Marta Mazzocco, Vladimir N. Rubtsov, “Painlevé monodromy manifolds, decorated character varieties, and cluster algebras”, Int. Math. Res. Not. IMRN, 2017:24 (2017), 7639–7691  mathnet  crossref  mathscinet  isi (cited: 15)  scopus (cited: 11)
93. Andrei K. Pogrebkov, “Symmetries of the Hirota Difference Equation”, SIGMA, 13 (2017), 53 , 14 pp., arXiv: 1704.00043  mathnet (cited: 5)  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)
94. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “KPII: CauchyJost function, Darboux transformations and totally nonnegative matrices”, J. Phys. A, 50 (2017), 304001 , 22 pp., arXiv: 1611.04198  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)
95. A. A. Slavnov, “A possibility to describe models of massive non-Abelian gauge fields in the framework of a renormalizable theory”, Theoret. and Math. Phys., 193:3 (2017), 1826–1833  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)
96. A. A. Slavnov, “60 years of nonabelian gauge fields”, Particle Physics at the Year of Light, 2017, 435–442  mathnet  crossref  scopus (cited: 1)
97. A. A. Hutsalyuk, A. Liashyk, S. Z. Pakulyak, E. Ragoucy, N. A. Slavnov, “Current presentation for the super-Yangian double $DY(\mathfrak{gl}(m|n))$ and Bethe vectors”, Russian Math. Surveys, 72:1 (2017), 33–99  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 13)  elib  elib  scopus (cited: 12)
98. A. A. Hutsalyuk, A. N. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov, “Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry 2. Determinant representation”, J. Phys. A, 50:3 (2017), 34004 , 22 pp., arXiv: 1606.03573  mathnet  crossref  mathscinet  isi (cited: 16)  elib  scopus (cited: 14)
99. Stanislav Z. Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “Bethe vectors for models based on the super-Yangian $Y(gl(m|n))$”, J. Integrab. Syst., 2 (2017), 1–31 , arXiv: 1604.02311  mathnet  crossref  mathscinet
100. J. Fuksa, N. A. Slavnov, “Form factors of local operators in supersymmetric quantum integrable models”, J. Stat. Mech., 2017, 43106 , 21 pp., arXiv: 1701.05866  mathnet  crossref  mathscinet  isi (cited: 7)  scopus (cited: 6)
101. N. A. Slavnov, “Algebraic Bethe ansatz”, Lekts. Kursy NOC, 27, Steklov Math. Institute of RAS, Moscow, 2017, 3–189  mathnet  mathnet  crossref  mathscinet  elib
102. A. Hutsalyuk, A. Liashyk, S.Z. Pakuliak, E. Ragoucy, N.A. Slavnov, “Scalar products of Bethe vectors in the models with $\mathfrak{gl}(m|n)$ symmetry”, Nuclear Phys. B, 923 (2017), 277–311 , arXiv: 1704.08173  mathnet  crossref  mathscinet  isi (cited: 11)  elib  scopus (cited: 10)
103. D. S. Ageev, I. Ya. Aref'eva, “Waking and scrambling in holographic heating up”, Theoret. and Math. Phys., 193:1 (2017), 1534–1546  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib  scopus (cited: 3)
104. I. Ya. Aref'eva, G. S. Djordjevic, A. Yu. Khrennikov, S. V. Kozyrev, Z. Rakic, I. V. Volovich, “p-Adic mathematical physics and B. Dragovich research”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 82–85  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
105. Irina Ya. Aref'eva, Mikhail A. Khramtsov, Maria D. Tikhanovskaya, “Thermalization after holographic bilocal quench”, JHEP, 9 (2017), 115 , 66 pp., arXiv: 1706.07390  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 19)  scopus (cited: 18)
106. L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081  mathnet  crossref  crossref  mathscinet  mathscinet  adsnasa  isi (cited: 4)  elib  scopus (cited: 3)
107. I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemcev, “Holographic control of information and dynamical topology change for composite open quantum systems”, Theoret. and Math. Phys., 193:3 (2017), 1834–1843  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
108. Irina Aref'eva, “Holography for Heavy Ions Collisions at LHC and NICA”, 5th International Conference on New Frontiers in Physics (Crete, Greece, July 6–14, 2016), EPJ Web of Conf., 164, eds. L. Bravina, Y. Foka and S. Kabana (Eds.), 2017, 1014 , 20 pp.  mathnet  crossref  isi (cited: 13)  scopus (cited: 13)
109. Dmitri Bykov, “Complex structure-induced deformations of $\sigma$-models”, JHEP, 2017, no. 3, 130 , 26 pp., arXiv: 1611.07116  mathnet  crossref  mathscinet  isi (cited: 4)  scopus (cited: 6)
110. D. V. Bykov, “A gauged linear formulation for flag-manifold $\sigma$-models”, Theoret. and Math. Phys., 193:3 (2017), 1737–1753  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus (cited: 3)
111. A. Zabrodin, A. Zotov, “KZ-Calogero correspondence revisited”, J. Phys. A, 50 (2017), 205202 , 12 pp., arXiv: 1701.06074  mathnet  crossref  mathscinet  isi (cited: 5)  scopus (cited: 4)
112. A. V. Zabrodin, A. V. Zotov, A. N. Liashyk, D. S. Rudneva, “Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles”, Theoret. and Math. Phys., 192:2 (2017), 1141–1153 , arXiv: 1611.02497  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  scopus (cited: 3)
113. A. Zabrodin, A. Zotov, “QKZRuijsenaars correspondence revisited”, Nuclear Phys. B, 922 (2017), 113–125 , arXiv: 1704.04527  mathnet  crossref  isi (cited: 4)  elib  scopus (cited: 3)
114. JETP Letters, 106:3 (2017), 179–183  mathnet  crossref  crossref  isi (cited: 2)  elib  scopus (cited: 3)
115. A. Zotov, “Relativistic elliptic matrix tops and finite Fourier transformations”, Modern Phys. Lett. A, 32:32 (2017), 1750169 , 22 pp., arXiv: 1706.05601  mathnet (cited: 2)  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)
116. Gleb Arutyunov, Daniele Dorigoni, Sergei Savin, “Resurgence of the dressing phase for $\mathrm{AdS_5\times S^5}$”, JHEP, 2017, no. 12, 55 , 57 pp., arXiv: 1608.03797  mathnet  crossref  mathscinet  isi (cited: 8)  scopus (cited: 10)
117. Gleb Arutyunov, Martin Heinze, Daniel Medina-Rincon, “Superintegrability of geodesic motion on the sausage model”, J. Phys. A, 50:24 (2017), 244002 , 29 pp.  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)
118. Gleb Arutyunov, Martin Heinze, Daniel Medina-Rincon, “Integrability of the $\eta$-deformed Neumann–Rosochatius model”, J. Phys. A, 50:3 (2017), 35401 , 23 pp.  mathnet  crossref  mathscinet  isi (cited: 10)  scopus (cited: 12)
119. Sergey Frolov, “Free field representation of the ZF algebra of the $SU(N)\times SU(N)$ PCF model”, J. Phys. A, 50:37 (2017), 374001 , 45 pp.  mathnet  crossref  isi (cited: 3)  scopus (cited: 3)
120. M. G. Matushko, V. V. Sokolov, “Polynomial forms for quantum elliptic Calogero–Moser Hamiltonians”, Theoret. and Math. Phys., 191:1 (2017), 480–490  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus (cited: 1)

   2016
121. Leonid O. Chekhov, “The Harer–Zagier recursion for an irregular spectral curve”, J. Geom. Phys., 110 (2016), 30–43 , arXiv: 1512.09278  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  elib  scopus (cited: 4)  scopus (cited: 4)
122. A. K. Pogrebkov, “Commutator identities on associative algebras, the non-Abelian Hirota difference equation and its reductions”, Theoret. and Math. Phys., 187:3 (2016), 823–834  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 5)  elib  elib  scopus (cited: 5)
123. A. A. Slavnov, “Nonperturbative quantization of models of massive non-Abelian gauge fields with spontaneously broken symmetry”, Theoret. and Math. Phys., 189:2 (2016), 1645–1650  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus (cited: 3)
124. V. P. Pavlov, V. M. Sergeev, “Fluid dynamics and thermodynamics as a unified field theory”, Proc. Steklov Inst. Math., 294 (2016), 222–232  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  elib  scopus (cited: 1)
125. V. P. Pavlov, “Luna – idealnyi ob'ekt dlya primeneniya lineinoi teorii uprugosti”, Sbornik trudov IX Vserossiiskoi konferentsii “Mekhanika deformiruemogo tverdogo tela” (Voronezh, 12–15 sentyabrya 2016 g.), Izd-vo “Nauchno-issledovatelskie publikatsii”, Voronezh, 2016, 130–135 http://www.spsl.nsc.ru/FullText/konfe/MEKhANIKA.pdf  elib
126. Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “Multiple actions of the monodromy matrix in $\mathfrak{gl}(2|1)$-invariant integrable models”, SIGMA, 12 (2016), 99 , 22 pp., arXiv: 1605.06419  mathnet (cited: 8)  crossref  mathscinet  isi (cited: 9)  elib  scopus (cited: 10)
127. A. Hustalyuk, A. Liashyk, S. Z. Pakulyak, E. Ragoucy, N. A. Slavnov, “Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models”, Nuclear Phys. B, 911 (2016), 902–927 , arXiv: 1607.04978  mathnet  crossref  isi (cited: 12)  elib  scopus (cited: 11)
128. N. A. Slavnov, “Multiple commutation relations in the models with $\mathfrak gl(2|1)$ symmetry”, Theoret. and Math. Phys., 189:2 (2016), 1624–1644  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 7)  elib  scopus (cited: 6)
129. A. Hustalyuk, A. Liashyk, S. Pakulyak, E. Ragoucy, N. Slavnov, “Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry. 1. Super-analog of Reshetikhin formula”, J. Phys. A, 49:45 (2016), 454005 , 28 pp., arXiv: 1605.09189  mathnet  crossref  mathscinet  isi (cited: 11)  elib  scopus (cited: 13)
130. Irina Aref'eva, “Holographic description of QGP production in heavy ion collisions”, AIP Conf. Proc., 1701, 2016, 90001 , 5 pp.  mathnet  crossref  isi (cited: 3)  elib  scopus (cited: 1)
131. Irina Ya. Aref'eva, Mikhail A. Khramtsov, “AdS/CFT prescription for angle-deficit space and winding geodesics”, JHEP, 2016, no. 4, 121 , 21 pp., arXiv: 1601.02008  mathnet (cited: 2)  crossref  mathscinet  isi (cited: 13)  elib  scopus (cited: 11)
132. D. S. Ageev, I. Ya. Aref'eva, M. D. Tikhanovskaya, “$(1+1)$-Correlators and moving massive defects”, Theoret. and Math. Phys., 188:1 (2016), 1038–1068  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 10)  elib  elib  scopus (cited: 6)  scopus (cited: 6)
133. D. S. Ageev, I. Ya. Aref'eva, “Holographic instant conformal symmetry breaking by colliding conical defects”, Theoret. and Math. Phys., 189:3 (2016), 1742–1754  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 12)  elib  scopus (cited: 6)
134. Irina Aref'eva, Andrey Bagrov, Petter Saterskog, Koenraad Schalm, “Holographic dual of a time machine”, Phys. Rev. D, 94:4 (2016), 044059  mathnet  crossref  isi (cited: 8)  elib  scopus (cited: 3)
135. Irina Aref'eva, “Multiplicity and theremalization time in heavy-ions collisions”, 19th International Seminar on High Energy Physics (QUARKS-2016), Sankt-Peterburg, 29 maya–4 iyunya 2016 g., EPJ Web of Conf., 125, 2016, 1007 , 12 pp.  mathnet  crossref  isi (cited: 12)  scopus (cited: 12)
136. I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya, “Improved image method for a holographic description of conical defects”, Theoret. and Math. Phys., 189:2 (2016), 1660–1672  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 6)  elib  scopus (cited: 5)
137. Irina Ya. Aref'eva, Anastasia A. Golubtsova, E. Gourgoulhon, “Analytic black branes in Lifshitz-like backgrounds and thermalization”, JHEP, 2016:9 (2016), 142 , 37 pp., arXiv: 1601.06046  mathnet  crossref  mathscinet  isi (cited: 15)  elib  scopus (cited: 12)
138. Dmitri Bykov, “Classical solutions of a flag manifold $\sigma$-model”, Nuclear Phys. B, 902 (2016), 292–301  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)  elib  scopus (cited: 12)
139. Dmitri Bykov, “Complex structures and zero-curvature equations for $\sigma$-models”, Phys. Lett. B, 760 (2016), 341–344  mathnet  crossref  isi (cited: 12)  elib  scopus (cited: 12)
140. D. V. Bykov, “Cyclic gradings of Lie algebras and Lax pairs for $\sigma$-models”, Theoret. and Math. Phys., 189:3 (2016), 1734–1741  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 5)  elib  scopus (cited: 5)
141. Dmitri Bykov, “Sigma-models with complex homogeneous target spaces”, 19th International Seminar on High Energy Physics (QUARKS-2016), Sankt-Peterburg, 29 maya–4 iyunya 2016 g., EPJ Web of Conf., 125, 2016, 5002 , 7 pp.  mathnet  crossref  isi  scopus
142. A. Levin, M. Olshanetsky, A. Zotov, “Yang–Baxter equations with two Planck constants”, J. Phys. A: Math. Theor., 49:1 (2016), 14003 , 19 pp., Exactly Solved Models and Beyond: a special issue in honour of R. J. Baxter's 75th birthday, arXiv: 1507.02617  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 8)
143. M. Beketov, A. Liashyk, A. Zabrodin, A. Zotov, “Trigonometric version of quantum–classical duality in integrable systems”, Nuclear Phys. B, 903 (2016), 150–163 , arXiv: 1510.07509  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 13)  elib  scopus (cited: 12)
144. Ivan Sechin, Andrei Zotov, “Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices”, J. Math. Phys., 57:5 (2016), 53505 , 14 pp., arXiv: 1511.08761  mathnet  crossref  mathscinet  isi (cited: 2)  elib  scopus (cited: 2)
145. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero–Moser systems, and KZB equations”, Theoret. and Math. Phys., 188:2 (2016), 1121–1154 , arXiv: 1507.04265  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
146. Andrey Levin, Mikhail Olshanetsky, Andrei Zotov, “Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation”, J. Phys. A, 49:39 (2016), 395202 , 26 pp., arXiv: 1603.06101  mathnet  crossref  mathscinet  isi (cited: 7)  elib  scopus (cited: 8)
147. A. V. Zotov, “Higher-order analogues of the unitarity condition for quantum $R$-matrices”, Theoret. and Math. Phys., 189:2 (2016), 1554–1562  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 6)  elib  scopus (cited: 5)
148. G. Arutyunov, S. Frolov, B. Hoare, R. Roiban, A. A. Tseytlin, “Scale invariance of the $\eta$-deformed $AdS_5\times S^5$ superstring, $T$-duality and modified type II equations”, Nuclear Phys. B, 903 (2016), 262–303  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 101)  elib  scopus (cited: 104)

   2015
149. Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “${\rm GL}(3)$-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators”, SIGMA, 11 (2015), 064 , 18 pp., arXiv: 1502.01966  mathnet (cited: 17)  crossref  mathscinet  zmath  isi (cited: 19)  elib (cited: 2)  scopus (cited: 17)
150. J. E. Andersen, L. O. Chekhov, P. Norbury, R. C. Penner, “Models of discretized moduli spaces, cohomological field theories, and Gaussian means”, J. Geom. Phys., 98 (2015), 312–339  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 1)  scopus (cited: 4)
151. J. E. Andersen, L. O. Chekhov, P. Norbury, R. C. Penner, “Topological recursion for Gaussian means and cohomological field theories”, Theoret. and Math. Phys., 185:3 (2015), 1685–1717  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)
152. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Cauchy–Jost function and hierarchy of integrable equations”, Theoret. and Math. Phys., 185:2 (2015), 1599–1613  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus (cited: 3)
153. A. A. Slavnov, “Soliton solutions of classical equations of motions in the modified formulation of the Yang–Mills theory”, Theoret. and Math. Phys., 184:3 (2015), 1342–1349  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus (cited: 1)
154. A. A. Slavnov, “New approach to the quantization of the Yang–Mills field”, Theoret. and Math. Phys., 183:2 (2015), 585–596  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 6)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 7)
155. A. A. Slavnov, “Quantization of Non-Abelian Gauge Fields”, Proc. Steklov Inst. Math., 289 (2015), 286–290  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 1)
156. V. P. Pavlov, “Perturbation Theory for the Stress Tensor in the Moon's Body with Tidal Effects Taken into Account”, Proc. Steklov Inst. Math., 289 (2015), 183–193  mathnet  crossref  crossref  isi  elib  elib  scopus
157. S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Zero modes method and form factors in quantum integrable models”, Nuclear Phys. B, 893 (2015), 459–481 , arXiv: 1412.6037  mathnet (cited: 7)  crossref  mathscinet  zmath  isi (cited: 21)  elib (cited: 8)  scopus (cited: 21)
158. N. A. Slavnov, “Scalar products in $GL(3)$-based models with trigonometric $R$-matrix. Determinant representation”, J. Stat. Mech. Theory Exp., 2015, no. 03, P03019 , 25 pp., arXiv: 1501.06253  mathnet (cited: 3)  crossref  mathscinet  isi (cited: 14)  elib  scopus (cited: 14)
159. N. A. Slavnov, “One-dimensional two-component Bose gas and the algebraic Bethe ansatz”, Theoret. and Math. Phys., 183:3 (2015), 800–821  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib  scopus (cited: 5)
160. Stanislav Pakuliak, Eric Ragoucy, Nikita A. Slavnov, “${\rm GL}(3)$-Based Quantum Integrable Composite Models. I. Bethe Vectors”, SIGMA, 11 (2015), 063 , 20 pp., arXiv: 1501.07566  mathnet (cited: 15)  crossref  mathscinet  zmath  isi (cited: 16)  elib (cited: 4)  scopus (cited: 14)
161. S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Form factors of local operators in a one-dimensional two-component Bose gas”, J. Phys. A, 48:43 (2015), 435001 , 21 pp., arXiv: 1503.00546  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 15)  elib (cited: 4)  scopus (cited: 15)
162. I. Ya. Aref'eva, A. A. Bagrov, “Holographic dual of a conical defect”, Theoret. and Math. Phys., 182:1 (2015), 1–22  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 8)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
163. D. S. Ageev, I. Ya. Aref'eva, “Holographic thermalization in a quark confining background”, J. Exp. Theor. Phys., 120:3 (2015), 436–443  mathnet  crossref  crossref  isi (cited: 10)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 7)
164. I. Ya. Aref'eva, A. A. Golubtsova, “Shock waves in Lifshitz-like spacetimes”, JHEP, 04 (2015), 11 , 33 pp., arXiv: 1410.4595  mathnet (cited: 4)  crossref  mathscinet  isi (cited: 13)  elib  scopus (cited: 8)
165. I. Ya. Aref'eva, “On finite-temperature string field theory and $p$-adic string”, P-Adic Numbers, Ultrametric Analysis, and Applications, 7:2 (2015), 111–120  mathnet  crossref  mathscinet  zmath  elib (cited: 1)  scopus (cited: 2)
166. I. Ya. Aref'eva, I. V. Volovich, S. V. Kozyrev, “Stochastic limit method and interference in quantum many-particle systems”, Theoret. and Math. Phys., 183:3 (2015), 782–799  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 13)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 11)
167. I. Ya. Aref'eva, “Formation time of quark–gluon plasma in heavy-ion collisions in the holographic shock wave model”, Theoret. and Math. Phys., 184:3 (2015), 1239–1255  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 17)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 12)
168. L. Accardi, I. Ya. Aref'eva, I. V. Volovich, “Fermionic Meixner classes, Lie algebras and quadratic hamiltonians”, Indian J. Pure Appl. Math., 46:4, Dedicated to Prof. Kalyan B. Sinha on occasion of his 70th birthday (2015), 517–538 , arXiv: 1411.4607  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
169. D. Bykov, “Integrable properties of $\sigma$-models with non-symmetric target spaces”, Nuclear Phys. B, 894 (2015), 254–267 , arXiv: 1412.3746  mathnet (cited: 1)  crossref  mathscinet  zmath  adsnasa  isi (cited: 13)  elib (cited: 2)  scopus (cited: 12)
170. D. V. Bykov, “The differential geometry of blow-ups”, Theoret. and Math. Phys., 185:2 (2015), 1636–1648  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
171. G. Aminov, H. W. Braden, A. Mironov, A. Morozov, A. Zotov, “Seiberg-Witten curves and double-elliptic integrable systems”, J. High Energy Phys., 2015, no. 1, 033 , 15 pp., arXiv: 1410.0698  mathnet (cited: 4)  crossref  mathscinet  isi (cited: 11)  elib (cited: 4)  scopus (cited: 9)
172. G. Aminov, A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and Knizhnik–Zamolodchikov–Bernard equations”, JETP Letters, 101:9 (2015), 648–655  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
173. A. Zabrodin, A. Zotov, “Classical-quantum correspondence and functional relations for Painlevé equations”, Constr. Approx., 41:3 (2015), 385–423 , arXiv: 1212.5813  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 3)  scopus
174. Zengo Tsuboi, Anton Zabrodin, Andrei Zotov, “Supersymmetric quantum spin chains and classical integrable systems”, J. High Energy Phys., 2015, no. 5, 086 , 43 pp., arXiv: 1412.2586  mathnet (cited: 2)  crossref  mathscinet  isi (cited: 14)  elib (cited: 1)  scopus (cited: 12)
175. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Quantum Baxter–Belavin $R$-matrices and multidimensional Lax pairs for Painlevé VI”, Theoret. and Math. Phys., 184:1 (2015), 924–939 , arXiv: 1501.07351  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 13)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 13)
176. G. E. Arutyunov, M. de Leeuw, S. J. van Tongeren, “The exact spectrum and mirror duality of the $(\text{AdS}_5{\times}S^5)_\eta$ superstring”, Theoret. and Math. Phys., 182:1 (2015), 23–51  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 53)  elib  scopus (cited: 46)

Proceedings


   2019
177. Irina Ya. Aref'eva and Igor V. Volovich, “Holographic photosynthesis and entanglement entropy”, Proceedings of QP38 (Japan, October, 2017), 2019 (to appear)

   2017
178. Dmitry S. Ageev, Irina Ya. Aref'eva , Anastasia A. Golubtsova, “Holographic Wilson loops in spacetimes with spatial anisotropy”, PoS CORFU2016, Corfu Summer Institute 2016 “School and Workshops on Elementary Particle Physics and Gravity” (31 August – 23 September, 2016, Corfu, Greece), 2017, 086 https://pos.sissa.it/292/086/pdf

ArXiv


   2020
179. Irina Arefeva, Kristina Rannu, Pavel Slepov, Holographic Anisotropic Model for Light Quarks with Confinement-Deconfinement Phase Transition, 2020 , 25 pp., arXiv: 2009.05562
180. Irina Ya. Arefeva, Kristina Rannu and Pavel Slepov, Holographic Anisotropic Model for Heavy Quarks in Anisotropic Hot Dense QGP with External Magnetic Field, 2020 , 38 pp., arXiv: 2011.07023
181. I.Y. Arefeva, A.A. Golubtsova and E. Gourgoulhon, Holographic drag force in 5d Kerr-AdS black hole, 2020 , 26 pp., arXiv: 2004.12984
182. Irina Ya. Arefeva, Kristina Rannu and Pavel Slepov, Energy Loss in Holographic Anisotropic Model for Heavy Quarks in External Magnetic Field, 2020 , 35 pp., arXiv: 2012.05758
183. D. Bykov, D. Lüst, Deformed sigma-models, Ricci flow and Toda field theories, 2020 , arXiv: 2005.01812
184. D. Bykov, Quantum flag manifold sigma-models and Hermitian Ricci flow, 2020 , arXiv: 2006.14124
185. D. Bykov, The $CP^{n-1}$-model with fermions: a new look, 2020 , arXiv: 2009.04608

   2019
186. D. Bykov, Flag manifold sigma-models and nilpotent orbits, 2019 , 12 pp., arXiv: 1911.07768

   2018
187. Irina Aref'eva, Igor Volovich, Notes on the SYK model in real time, 2018 , 18 pp., arXiv: 1801.08118
188. Irina Ya. Aref'eva, Anastasia A. Golubtsova and Giuseppe Policastro, Exact holographic RG flows and the $A_1\times A_1$ Toda chain, 2018 , 55 pp., arXiv: 1803.06764
189. Dmitry S. Ageev, Irina Ya. Aref'eva, When things stop falling, chaos is suppressed, 2018 , 8 pp., arXiv: 1806.05574
190. I. Aref'eva, K. Rannu and P. Slepov, Orientation Dependence of Confinement-Deconfinement Phase Transition in Anisotropic Media, 2018 , 18 pp., arXiv: 1808.05596

   2017
191. Jorgen Ellegaard Andersen, Gaetan Borot, Leonid O. Chekhov, Nicolas Orantin, The ABCD of topological recursion, 2017 , 75 pp., arXiv: 1703.03307
192. Leonid Chekhov, Marta Mazzocco, Vladimir Rubtsov, Algebras of quantum monodromy data and decorated character varieties, 2017 , 22 pp., arXiv: 1705.01447
193. V. P. Pavlov, The Moon turns out to be the perfect object to use thelinear elasticity theory, 2017 , Preprint submitted to Earth and Planetary Science Letters, arXiv: 1706.09296

   2016
194. Irina Aref'eva, Igor Volovich, Holographic photosynthesis, 2016 , 36 pp., arXiv: 1603.09107
195. I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya, Holographic Dual to Conical Defects III: Improved Image Method, 2016 , 18 pp., arXiv: 1604.08905 [hep-th]
196. D. S. Ageev, I. Y. Aref'eva, A. A. Golubtsova, E. Gourgoulhon, Holographic Wilson loops in Lifshitz-like backgrounds, 2016 , 39 pp., arXiv: 1606.03995

   2015
197. Irina Ya. Aref'eva, QGP time formation in holographic shock waves model of heavy ion collisions, 2015 , 25 pp., arXiv: 1503.02185
198. Irina Arefeva, Andrey Bagrov, Petter Säterskog and Koenraad Schalm, Holographic dual of a time machine, 2015 , 37 pp., arXiv: 1508.04440
199. D. S. Ageev, I. Ya. Aref'eva, M. D. Tikhanovskaya, Holographic Dual to Conical Defects: I. Moving Massive Particle, 2015 , 43 pp., arXiv: 1512.03362
200. D. S. Ageev, I. Ya. Aref'eva, Holographic Dual to Conical Defects: II. Colliding Ultrarelativistic Particles, 2015 , 17 pp., arXiv: 1512.03363

Information matherials


   2020
201. V. E. Adler, S. N. Askhabov, R. Ch. Kulaev, A. G. Kusraev, S. S. Kutateladze, A. K. Pogrebkov, Yu. G. Reshetnyak, “In Memory of Alexei Borisovich Shabat (08.08.1937–24.03.2020)”, Vladikavkaz. Mat. Zh., 22:2 (2020), 100–102  mathnet

Personalia


   2017
202. I. Arefeva, A. Slavnov, “Ludwig Faddeev 1934-2017”, Obituary, CERN Courier, 57:4 (2017), 55
203. A. A. Belavin, M. I. Vysotsky, S. S. Gershtein, V. I. Zakharov, B. L. Ioffe, D. I. Kazakov, V. T. Kim, V. A. Matveev, A. M. Polyakov, V. A. Rubakov, A. A. Slavnov, V. S. Fadin, “In memory of Lev Nikolaevich Lipatov”, Phys. Usp., 60:12 (2017), 1306–1307  mathnet  crossref  crossref  adsnasa  isi  elib
204. I. Ya. Aref'eva, V. E. Zakharov, V. V. Kozlov, I. M. Krichever, V. P. Maslov, S. P. Novikov, A. M. Polyakov, N. Yu. Reshetikhin, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, L. A. Takhtajan, S. L. Shatashvili, “Ludwig Dmitrievich Faddeev (obituary)”, Russian Math. Surveys, 72:6 (2017), 1157–1163  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib

   2016
205. V. V. Belokurov, V. V. Voronov, D. I. Kazakov, V. A. Matveev, I. N. Meshkov, Yu. Ts. Oganessian, V. A. Rubakov, A. N. Skrinsky, A. A. Slavnov, G. V. Trubnikov, Yu. A. Trutnev, V. E. Fortov, “In memory of Dmitrii Vasil'evich Shirkov”, Phys. Usp., 59:4 (2016), 419–420  mathnet  crossref  crossref  adsnasa  isi  elib

   2015
206. S. S. Gershtein, S. P. Denisov, A. M. Zaitsev, S. V. Ivanov, V. A. Matveev, M. A. Mestvirishvili, V. A. Petrov, V. A. Rubakov, V. A. Sadovnichy, A. A. Slavnov, A. N. Skrinsky, Yu. A. Trutnev, N. E. Tyurin, “In memory of Anatoly Alekseevich Logunov”, Phys. Usp., 58:9 (2015), 927–928  mathnet  crossref  crossref  adsnasa  isi (cited: 1)  elib
207. V. V. Kozlov, V. P. Pavlov, A. G. Sergeev, “Vladimir Andreevich Steklov (1863–1926)”, Proc. Steklov Inst. Math., 289 (2015), 1–9  mathnet  crossref  crossref  isi  elib  scopus

Miscellaneous


   2020
208. Sovremennye problemy matematicheskoi i teoreticheskoi fiziki, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Andreya Alekseevicha Slavnova, Tr. MIAN, 309, ed. A. K. Pogrebkov, N. A. Slavnov, A. A. Belavin, A. V. Zotov, I. V. Tyutin, MIAN, M., 2020 , 346 pp.  mathnet
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