D. Bykov, “Haldane limits via Lagrangian embeddings”, Nuclear Physics B, 855 (2012), 100–127
D. Bykov, “The worldsheet low-energy limit of the $\mathrm{AdS}_4\times\mathbb C\mathrm P^3$ superstring”, Nuclear Physics B, 838:1-2 (2010), 47–74
D. Bykov, “Complex structures and zero-curvature equations for $\sigma$-models”, Physics Letters B, 760 (2016), 341–344
I. Affleck, D. Bykov, K. Wamer, “Flag manifold sigma models: Spin chains and integrable theories”, Physics Reports, 953 (2022), 1–93
D. Bykov, A. Pribytok, “Supersymmetric deformation of the $\mathbb{CP}^{1}$ model and its conformal limits”, Advances in Theoretical and Mathematical Physics, 28 (2024), 2717–2758
Dmitri Bykov, Andrew Kuzovchikov, “The classical and quantum particle on a flag manifold”, Class. Quantum Grav., 41:20 (2024), 205009 , 40 pp., arXiv: 2404.15900;
2.
D. Bykov, V. Krivorol, “Grassmannian Sigma Models”, Advances in Theoretical and Mathematical Physics, 28:3 (2024), 1027-1079 , arXiv: https://arxiv.org/abs/2306.04555
3.
D. Bykov, A. Pribytok, “Supersymmetric deformation of the CP^1 model and its conformal limits”, Advances in Theoretical and Mathematical Physics, 28:8 (2024), 2717-2758 , arXiv: https://arxiv.org/abs/2312.16396
2023
4.
Dmitri Bykov, “Quantum flag manifold $\sigma$-models and Hermitian Ricci flow”, Comm. Math. Phys., 401 (2023), 1–32 , arXiv: 2006.1412;
I. Ya. Aref'eva, V. V. Belokurov, E. E. Boos, D. V. Bykov, I. V. Volovich, D. I. Kazakov, V. V. Kozlov, M. V. Libanov, V. A. Matveev, V. A. Rubakov, D. V. Treshchev, G. V. Trubnikov, “In memory of Andrei Alekseevich Slavnov”, Phys. Usp., 65:11 (2022), 1204–1205
2021
12.
D. V. Bykov, “Sigma models as Gross–Neveu models”, Theoret. and Math. Phys., 208:2 (2021), 993–1003
13.
Dmitri Bykov, Dieter Lüst, “Deformed $\sigma$-models, Ricci flow and Toda field theorie”, Lett. Math. Phys., 111 (2021), 150 , 36 pp. ;
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;
D. Bykov, D. Lüst, Deformed sigma-models, Ricci flow and Toda field theories, 2020 , arXiv: 2005.01812
18.
D. Bykov, The $CP^{n-1}$-model with fermions: a new look, 2020 , arXiv: 2009.04608
2019
19.
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
D. V. Bykov, “Cyclic gradings of Lie algebras and Lax pairs for $\sigma$-models”, Theoret. and Math. Phys., 189:3 (2016), 1734–1741
29.
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
30.
D. Bykov, “Integrable properties of $\sigma$-models with non-symmetric target spaces”, Nuclear Phys. B, 894 (2015), 254–267 , arXiv: 1412.3746
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
37.
D. Bykov, The Kahler metric of a blow-up, 2013 , 38 pp., arXiv: 1307.2816
38.
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
39.
D. Bykov, “Haldane limits via Lagrangian embeddings”, Nuclear Phys. B, 855:1 (2012), 100–127 , arXiv: 1104.1419
L. F. Alday, G. Arutyunov, D. Bykov, “Spinning strings in $\mathrm{AdS}_4\times\mathbb{CP}^3$ and quantum corrections”, Fortschr. Phys., 57:5-7 (2009), 472–477
D. V. Bykov, A. A. Slavnov, “Matrix and vector models in the strong coupling limit”, Theoret. and Math. Phys., 155:2 (2008), 708–714
46.
L. F. Alday, G. Arutyunov, D. Bykov, “Semiclassical quantization of spinning strings in $\mathrm{AdS}_4\times\mathbb{CP}^3$”, J. High Energy Phys., 2008, no. 11, 089 , 21 pp.
Yu. S. Osipov, V. A. Sadovnichii, D. V. Bykov, F. L. Chernous'ko, A. A. Logunov, S. Yu. Dobrokhotov, M. V. Karasev, “Fiftieth anniversary of research and teaching by Viktor Pavlovich Maslov”, Theoret. and Math. Phys., 155:2 (2008), 674–677
2006
49.
R. N. Baranov, D. V. Bykov, A. A. Slavnov, “The condensate $\langle\operatorname{tr}(A_\mu^2)\rangle$ in commutative and noncommutative theories”, Theoret. and Math. Phys., 148:3 (2006), 1168–1173
2005
50.
D. V. Bykov, A. A. Slavnov, “Dimension-Two Vacuum Condensates in Gauge-Invariant Theories”, Theoret. and Math. Phys., 145:2 (2005), 1495–1503
Presentations in Math-Net.Ru
1.
Матричная квантовая механика и многообразия флагов D. V. Bykov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) November 12, 2024 16:45
2.
Opening D. V. Bykov International Conference "Fields & Strings 2024" February 5, 2024 09:30
Sigma models as Gross-Neveu models D. V. Bykov International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov June 2, 2022 10:00
Сигма-модели как модели Гросса-Неве D. V. Bykov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS February 10, 2021 14:00
24.
Sigma models as Gross–Neveu models D. V. Bykov International conference in memory of M. K. Polivanov "Polivanov–90" December 16, 2020 17:30
Сигма-модели пространств флагов D. V. Bykov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS December 26, 2018 14:00
Сигма-модель пространства флагов D. V. Bykov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS December 24, 2014 14:00
Кэлеров потенциал в окрестности прямой D. V. Bykov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS June 25, 2013 14:00
Предел Халдейна и лагранжевы вложения D. V. Bykov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS May 4, 2011 14:00
2024
Contact us: