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Zotov Andrei Vladimirovich
(recent publications)
| by years | scientific publications | by types |



   2018
1. A. Zabrodin, A. Zotov, “Self-dual form of RuijsenaarsSchneider models and ILW equation with discrete Laplacian”, Nuclear Physics B, 927 (2018), 550–565 , arXiv: 1711.01036  mathnet  crossref  isi  scopus
2. A. Grekov, A. Zotov, On R-matrix valued Lax pairs for Calogero-Moser models, 2018 , arXiv: 1801.00245
3. 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  scopus

   2017
4. A. Zabrodin, A. Zotov, “KZ-Calogero correspondence revisited”, J. Phys. A: Math. Theor., 50 (2017), 205202 , 12 pp., arXiv: 1701.06074  mathnet  crossref  isi (cited: 1)  scopus (cited: 1)
5. 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: 1)  elib  scopus
6. A. Zabrodin, A. Zotov, “QKZRuijsenaars correspondence revisited”, Nuclear Phys. B, 922 (2017), 113–125 , arXiv: 1704.04527  mathnet  crossref  isi  scopus
7. JETP Letters, 106:3 (2017), 179–183  mathnet  crossref  crossref  isi  elib  scopus
8. A. Zotov, “Relativistic elliptic matrix tops and finite Fourier transformations”, Modern Phys. Lett. A, 32:32 (2017), 1750169 , 22 pp., arXiv: 1706.05601  mathnet  crossref  isi  scopus

   2016
9. 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 (cited: 1)  zmath  isi (cited: 5)  scopus (cited: 4)
10. 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: 6)  elib  scopus (cited: 7)
11. 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: 1)  elib  scopus (cited: 1)
12. 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
13. Andrey Levin, Mikhail Olshanetsky, Andrei Zotov, “Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation”, J. Phys. A: Math. Theor., 49:39 (2016), 395202 , 26 pp., arXiv: 1603.06101  mathnet  crossref  isi (cited: 1)  elib  scopus (cited: 1)
14. 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: 2)  elib  scopus (cited: 2)

   2015
15. 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: 9)  elib (cited: 4)  scopus (cited: 6)
16. 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  isi  elib  scopus
17. 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 (cited: 3)  zmath  isi (cited: 6)  elib (cited: 3)  scopus
18. 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: 8)  elib (cited: 1)  scopus (cited: 7)
19. 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: 6)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 7)

   2014
20. A. Gorsky, A. Zabrodin, A. Zotov, “Spectrum of quantum transfer matrices via classical many-body systems”, J. High Energy Phys., 2014, no. 1, 070 , 28 pp., arXiv: 1310.6958  mathnet  crossref  mathscinet (cited: 1)  zmath  isi (cited: 18)  scopus (cited: 17)
21. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Classification of isomonodromy problems on elliptic curves”, Russian Math. Surveys, 69:1 (2014), 35–118 , arXiv: 1311.4498  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 8)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 6)
22. G. Aminov, S. Arthamonov, A. Smirnov, A. Zotov, “Rational top and its classical $r$-matrix”, J. Phys. A: Math. Theor., 47:30 (2014), 305207 , 19 pp., arXiv: 1402.3189  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 5)  scopus (cited: 9)
23. A. Levin, M. Olshanetsky, A. Zotov, “Relativistic classical integrable tops and quantum $R$-matrices”, J. High Energy Phys., 2014, no. 7, 012 , arXiv: 1405.7523  mathnet  crossref  isi (cited: 14)  elib (cited: 7)  scopus (cited: 14)
24. A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and soliton equations related to eleven-vertex $R$-matrix”, Nuclear Physics B, 887 (2014), 400–422 , arXiv: 1406.2995  mathnet  crossref  mathscinet (cited: 1)  zmath  isi (cited: 10)  elib (cited: 5)  scopus (cited: 7)
25. A. Levin, M. Olshanetsky, A. Zotov, “Planck constant as spectral parameter in integrable systems and KZB equations”, JHEP, 2014, no. 10, 109 , 29 pp., arXiv: 1408.6246v2  mathnet  crossref  mathscinet (cited: 1)  zmath  isi (cited: 11)  elib  scopus (cited: 7)

   2013
26. JETP Letters, 97:1 (2013), 45–51  mathnet  crossref  crossref  adsnasa  isi (cited: 36)  elib (cited: 28)  elib (cited: 28)  scopus (cited: 37)
27. A. Mironov, A. Morozov, B. Runov, Y. Zenkevich, A. Zotov, “Spectral duality between Heisenberg chain and Gaudin model”, Lett. Math. Phys., 103:3 (2013), 299–329 , arXiv: 1206.6349  mathnet  crossref  mathscinet (cited: 3)  zmath  adsnasa  isi (cited: 44)  elib (cited: 26)  scopus (cited: 38)
28. A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes of $\mathrm{SL}(N,\mathbb C)$-bundles and quantum dynamical elliptic $R$-matrices”, J. Phys. A: Math. Theor., 46:3 (2013), 035201 , 25 pp., arXiv: 1208.5750  mathnet  crossref  mathscinet (cited: 5)  zmath  adsnasa  isi (cited: 9)  scopus (cited: 9)
29. A. V. Zotov, A. V. Smirnov, “Modifications of bundles, elliptic integrable systems, and related problems”, Theoret. and Math. Phys., 177:1 (2013), 1281–1338  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)  elib (cited: 9)  elib (cited: 9)  scopus (cited: 12)
30. G. Aminov, A. Mironov, A. Morozov, A. Zotov, “Three-particle integrable systems with elliptic dependence on momenta and theta function identities”, Phys. Lett. B, 726:4-5 (2013), 802–808 , arXiv: 1307.1465  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  elib (cited: 6)  scopus (cited: 10)  scopus (cited: 10)
31. A. Mironov, A. Morozov, B. Runov, Y. Zenkevich, A. Zotov, “Spectral dualities in XXZ spin chains and five dimensional gauge theories”, J. High Energy Phys., 2013, no. 12, 034 , 11 pp., arXiv: 1307.1502  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 14)  scopus (cited: 15)

   2012
32. A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes and Hitchin systems. General construction”, Comm. Math. Phys., 316:1 (2012), 1–44 , arXiv: 1006.0702  mathnet  crossref  mathscinet (cited: 4)  zmath  adsnasa  isi (cited: 11)  elib (cited: 9)  scopus (cited: 10)
33. A. Zabrodin, A. Zotov, “Quantum Painlevé-Calogero correspondence for Painlevé VI”, J. Math. Phys., 53:7 (2012), 073508 , 19 pp., arXiv: 1107.5672  mathnet  crossref  mathscinet (cited: 9)  zmath  adsnasa  isi (cited: 19)  scopus (cited: 16)
34. A. Zabrodin, A. Zotov, “Quantum Painlevé-Calogero correspondence”, J. Math. Phys., 53:7 (2012), 073507 , 19 pp., arXiv: 1107.5672  mathnet  crossref  mathscinet (cited: 10)  zmath  adsnasa  isi (cited: 26)  scopus (cited: 21)
35. A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Calogero-Moser systems for simple Lie groups and characteristic classes of bundles”, J. Geom. Phys., 62:8 (2012), 1810–1850 , arXiv: 1007.4127  mathnet  crossref  mathscinet (cited: 6)  zmath  adsnasa  isi (cited: 13)  elib (cited: 10)  scopus (cited: 12)
36. Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov, Andrei V. Zotov, “Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles”, SIGMA, 8 (2012), 095 , 37 pp., arXiv: 1207.4386  mathnet (cited: 8)  crossref  mathscinet (cited: 4)  zmath  isi (cited: 8)  scopus (cited: 8)

   2011
37. Andrei V. Zotov, “1+1 Gaudin Model”, SIGMA, 7 (2011), 067 , 26 pp., arXiv: 1012.1072  mathnet (cited: 8)  crossref  mathscinet (cited: 3)  zmath  isi (cited: 8)  scopus (cited: 8)


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