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Bykov Dmitrii Vladimirovich
(recent publications)

by years

scientific publications

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2021
1.	D. V. Bykov, “Sigma models as Gross–Neveu models”, Theoret. and Math. Phys., 208:2 (2021), 993–1003

2020
2.	Dmitri V. Bykov, “Flag Manifold Sigma Models and Nilpotent Orbits”, Proc. Steklov Inst. Math., 309 (2020), 78–86 (cited: 3) (cited: 3)
3.	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 (cited: 1) (cited: 1) (cited: 1);
4.	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 ;
5.	D. Bykov, D. Lüst, Deformed sigma-models, Ricci flow and Toda field theories, 2020 , arXiv: 2005.01812
6.	D. Bykov, Quantum flag manifold sigma-models and Hermitian Ricci flow, 2020 , arXiv: 2006.14124
7.	D. Bykov, The $CP^{n-1}$-model with fermions: a new look, 2020 , arXiv: 2009.04608

2019
8.	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 (cited: 7) (cited: 6)
9.	D. Bykov, Flag manifold sigma-models and nilpotent orbits, 2019 , 12 pp., arXiv: 1911.07768

2018
10.	Phys. Part. Nucl., 49:5 (2018), 963–965
11.	D. V. Bykov, “The $1/N$-expansion for flag-manifold $\sigma$-models”, Theoret. and Math. Phys., 197:3 (2018), 1691–1700 (cited: 1) (cited: 2)
12.	Dmitri Bykov, “Ricci-flat metrics and Killing–Yano tensors”, QUARKS-2018, EPJ Web of Conf., 191, 2018, 06010 , 8 pp.

2017
13.	Dmitri Bykov, “Complex structure-induced deformations of $\sigma$-models”, JHEP, 2017, no. 3, 130 , 26 pp., arXiv: 1611.07116 (cited: 5) (cited: 7)
14.	D. V. Bykov, “A gauged linear formulation for flag-manifold $\sigma$-models”, Theoret. and Math. Phys., 193:3 (2017), 1737–1753 (cited: 3) (cited: 3)

2016
15.	Dmitri Bykov, “Classical solutions of a flag manifold $\sigma$-model”, Nuclear Phys. B, 902 (2016), 292–301 (cited: 14) (cited: 14)
16.	Dmitri Bykov, “Complex structures and zero-curvature equations for $\sigma$-models”, Phys. Lett. B, 760 (2016), 341–344 (cited: 13) (cited: 13)
17.	D. V. Bykov, “Cyclic gradings of Lie algebras and Lax pairs for $\sigma$-models”, Theoret. and Math. Phys., 189:3 (2016), 1734–1741 (cited: 5) (cited: 5)
18.	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.

2015
19.	D. Bykov, “Integrable properties of $\sigma$-models with non-symmetric target spaces”, Nuclear Phys. B, 894 (2015), 254–267 , arXiv: 1412.3746 (cited: 1) (cited: 14) (cited: 2) (cited: 14)
20.	D. V. Bykov, “The differential geometry of blow-ups”, Theoret. and Math. Phys., 185:2 (2015), 1636–1648 (cited: 1) (cited: 1)

2014
21.	D. Bykov, Comments on the del Pezzo cone, 2014 , 28 pp., arXiv: 1405.2319
22.	D. Bykov, “Instantons and holomorphic spheres”, Supersymmetries and Quantum Symmetries (Dubna, 29.07–03.08 2015 g.), Phys. Part. Nucl. Lett., 11, no. 7, 2014, 1016–1018
23.	D. V. Bykov, “Geometric aspects of the holographic duality”, Theoret. and Math. Phys., 181:3 (2014), 1499–1508

2013
24.	D. Bykov, “The geometry of antiferromagnetic spin chains”, Comm. Math. Phys., 322:3 (2013), 807–834 , arXiv: 1206.2777 (cited: 14) (cited: 15)
25.	D. Bykov, “Comments on blow-ups”, New Trends in High Energy Physics (23–29 sentyabrya 2013 g., Alushta, Ukraina), eds. Laszlo Jenkovszky, Denis Savchenko, Georgiy Stelmakh, Institut teoreticheskoi fiziki im. N. N. Bogolyubova, Kiev, 2013, 166-171
26.	D. Bykov, The Kahler metric of a blow-up, 2013 , 38 pp., arXiv: 1307.2816
27.	D. Bykov, “The geometry of Haldane limits”, Proceedings of the 17th International Seminar QUARKS'2012 (4–10 iyunya 2012 g.), v. 1, eds. V. A. Matveev, V. A. Rubakov, Institute for Nuclear research of the Russian Academy of Sciences, 2013, 180–192

2012
28.	D. Bykov, “Haldane limits via Lagrangian embeddings”, Nuclear Phys. B, 855:1 (2012), 100–127 , arXiv: 1104.1419 (cited: 20) (cited: 2) (cited: 21)
29.	D. Bykov, K. Zarembo, “Ladders for Wilson loops beyond leading order”, J. High Energy Phys., 2012, no. 9, 057 , 14 pp., arXiv: 1206.7117 (cited: 16) (cited: 18)

2011
30.	D. V. Bykov, “Massless Excitations of Long Strings in $\mathrm{AdS}_4\times\mathbb C\mathrm P^3$”, Proc. Steklov Inst. Math., 272 (2011), 47–57

2010
31.	D. V. Bykov, “Symmetry algebra of the AdS$_4{\times}\mathbb{CP}^3$ superstring”, Theoret. and Math. Phys., 163:1 (2010), 496–510 (cited: 2) (cited: 2) (cited: 2) (cited: 2)
32.	D. Bykov, “The worldsheet low-energy limit of the $\mathrm{AdS}_4\times\mathbb{C}\mathrm{P}^3$ superstring”, Nuclear Phys. B, 838:1-2 (2010), 47–74 (cited: 13) (cited: 10) (cited: 13)

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