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Быков Дмитрий Владимирович
(публикации за последние годы)
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Статьи
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2025 |
| 1. |
Dmitri Bykov, Viacheslav Krivorol, “Supersymmetric Grassmannian sigma models in Gross–Neveu formalism”, Lett. Math. Phys., 115 (2025), 85, 34 pp., arXiv: 2407.20423
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1
[x]
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| 2. |
Dmitri Bykov, Viacheslav Krivorol, Andrew Kuzovchikov, “Oscillator calculus on coadjoint orbits and index theorems”, Lett. Math. Phys., 115 (2025), 101, 59 pp., arXiv: 2412.21024
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3
[x]
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2024 |
| 3. |
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
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7
[x]
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| 4. |
Dmitry Bykov, Anton Pribytok, “Supersymmetric deformation of the $\mathbb{CP}^1$ model and its conformal limits”, Adv. Theor. Math. Phys., 28:8 (2024), 2717–2758, arXiv: 2312.16396
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4
[x]
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| 5. |
Dmitry Bykov, Viacheslav Krivorol, “Grassmannian sigma models”, Adv. Theor. Math. Phys., 28:3 (2024), 1027–1079, arXiv: 2306.04555
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3
[x]
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2023 |
| 6. |
Dmitri Bykov, “Quantum flag manifold $\sigma$-models and Hermitian Ricci flow”, Comm. Math. Phys., 401 (2023), 1–32, arXiv: 2006.1412
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9
[x]
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| 7. |
Д. В. Быков, “Сигма-модели как модели Гросса–Невё. II”, ТМФ, 217:3 (2023), 499–514 ; D. V. Bykov, “Sigma models as Gross–Neveu models. II”, Theoret. and Math. Phys., 217:3 (2023), 1842–1854
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3
[x]
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| 8. |
Dmitri Bykov, Andrei Smilga, “Monopole harmonics on $\mathbb{C}\mathbb{P}^{n-1}$”, SciPost Phys., 15 (2023), 195, 33 pp.
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6
[x]
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| 9. |
Dmitri Bykov, “$\beta$-function of the level-zero Gross–Neveu model”, SciPost Phys., 15:4 (2023), 127, 27 pp. |
| 10. |
Dmitri Bykov, “Integrable sigma models on Riemann surfaces”, Phys. Rev. D, 107:8 (2023), 85015, 8 pp., arXiv: 2202.12805
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3
[x]
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2022 |
| 11. |
Ian Affleck, Dmitri Bykov, Kyle Wamer, “Flag manifold sigma models: Spin chains and integrable theories”, Phys. Rep., 953 (2022), 1–93
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25
[x]
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| 12. |
Dmitri Bykov, “The $\mathsf{CP}^{n-1}$-model with fermions: a new look”, Adv. Theor. Math. Phys., 26:2 (2022), 295–324, arXiv: 2009.04608
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9
[x]
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2021 |
| 13. |
Д. В. Быков, “Сигма-модели как модели Гросса–Невё”, ТМФ, 208:2 (2021), 165–179 ; D. V. Bykov, “Sigma models as Gross–Neveu models”, Theoret. and Math. Phys., 208:2 (2021), 993–1003
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18
[x]
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| 14. |
Dmitri Bykov, Dieter Lüst, “Deformed $\sigma$-models, Ricci flow and Toda field theorie”, Lett. Math. Phys., 111 (2021), 150, 36 pp.
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8
[x]
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2020 |
| 15. |
Д. В. Быков, “Сигма-модели пространств флагов и нильпотентные орбиты”, Современные проблемы математической и теоретической физики, Сборник статей. К 80-летию со дня рождения академика Андрея Алексеевича Славнова, Тр. МИАН, 309, МИАН, М., 2020, 89–98 ; Dmitri V. Bykov, “Flag Manifold Sigma Models and Nilpotent Orbits”, Proc. Steklov Inst. Math., 309 (2020), 78–86
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13
[x]
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| 16. |
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
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4
[x]
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| 17. |
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
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4
[x]
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2019 |
| 18. |
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
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12
[x]
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2018 |
| 19. |
D. Bykov, “Sigma Models with Complex, Graded and $\eta$-Deformed Target Spaces”, Phys. Part. Nucl., 49:5 (2018), 1492 ; Phys. Part. Nucl., 49:5 (2018), 963–965
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2
[x]
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| 20. |
Д. В. Быков, “Правила Фейнмана для $\sigma$-моделей пространств флагов”, ТМФ, 197:3 (2018), 345–355 ; D. V. Bykov, “The $1/N$-expansion for flag-manifold $\sigma$-models”, Theoret. and Math. Phys., 197:3 (2018), 1691–1700
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3
[x]
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| 21. |
Dmitri Bykov, “Ricci-flat metrics and Killing–Yano tensors”, QUARKS-2018, EPJ Web of Conf., 191, 2018, 06010, 8 pp. |
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2017 |
| 22. |
Dmitri Bykov, “Complex structure-induced deformations of $\sigma$-models”, JHEP, 2017, no. 3, 130, 26 pp., arXiv: 1611.07116
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13
[x]
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| 23. |
Д. В. Быков, “Квазилинейная формулировка $\sigma$-модели пространства флагов”, ТМФ, 193:3 (2017), 381–400 ; D. V. Bykov, “A gauged linear formulation for flag-manifold $\sigma$-models”, Theoret. and Math. Phys., 193:3 (2017), 1737–1753
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4
[x]
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2016 |
| 24. |
Dmitri Bykov, “Classical solutions of a flag manifold $\sigma$-model”, Nuclear Phys. B, 902 (2016), 292–301
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21
[x]
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| 25. |
Dmitri Bykov, “Complex structures and zero-curvature equations for $\sigma$-models”, Phys. Lett. B, 760 (2016), 341–344
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22
[x]
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| 26. |
Д. В. Быков, “Циклические градуировки алгебр Ли и пары Лакса для сигма-моделей”, ТМФ, 189:3 (2016), 380–388 ; D. V. Bykov, “Cyclic gradings of Lie algebras and Lax pairs for $\sigma$-models”, Theoret. and Math. Phys., 189:3 (2016), 1734–1741
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9
[x]
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| 27. |
Dmitri Bykov, “Sigma-models with complex homogeneous target spaces”, 19th International Seminar on High Energy Physics (QUARKS-2016), Санкт-Петербург, 29 мая–4 июня 2016 г., EPJ Web of Conf., 125, 2016, 5002, 7 с. |
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2015 |
| 28. |
D. Bykov, “Integrable properties of $\sigma$-models with non-symmetric target spaces”, Nuclear Phys. B, 894 (2015), 254–267, arXiv: 1412.3746
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23
[x]
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| 29. |
Д. В. Быков, “О дифференциальной геометрии раздутий”, ТМФ, 185:2 (2015), 313–328 ; D. V. Bykov, “The differential geometry of blow-ups”, Theoret. and Math. Phys., 185:2 (2015), 1636–1648
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1
[x]
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2014 |
| 30. |
D. Bykov, “Instantons and holomorphic spheres”, Supersymmetries and Quantum Symmetries (Дубна, 29.07–03.08 2015 г.), Phys. Part. Nucl. Lett., 11, № 7, 2014, 1016–1018 |
| 31. |
Д. В. Быков, “Геометрические аспекты голографической двойственности”, В честь юбилея А. А. Славнова, ТМФ, 181:3 (2014), 436–448 ; D. V. Bykov, “Geometric aspects of the holographic duality”, Theoret. and Math. Phys., 181:3 (2014), 1499–1508 |
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2013 |
| 32. |
D. Bykov, “The geometry of antiferromagnetic spin chains”, Comm. Math. Phys., 322:3 (2013), 807–834, arXiv: 1206.2777
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27
[x]
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2012 |
| 33. |
D. Bykov, “Haldane limits via Lagrangian embeddings”, Nuclear Phys. B, 855:1 (2012), 100–127, arXiv: 1104.1419
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34
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| 34. |
D. Bykov, K. Zarembo, “Ladders for Wilson loops beyond leading order”, J. High Energy Phys., 2012, no. 9, 057, 14 pp., arXiv: 1206.7117
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19
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2011 |
| 35. |
Д. В. Быков, “Безмассовые возбуждения длинных струн в $\mathrm{AdS}_4\times\mathbb C\mathrm P^3$”, Проблемы современной теоретической и математической физики. Калибровочные теории и суперструны, Сборник статей. К 70-летию со дня рождения академика Андрея Алексеевича Славнова, Тр. МИАН, 272, МАИК, М., 2011, 54–64 ; 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 |
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2010 |
| 36. |
Д. В. Быков, “Алгебра симметрии суперструны в $AdS_4\times\mathbb{CP}^3$”, ТМФ, 163:1 (2010), 114–131 ; D. V. Bykov, “Symmetry algebra of the AdS$_4{\times}\mathbb{CP}^3$ superstring”, Theoret. and Math. Phys., 163:1 (2010), 496–510
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3
[x]
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| 37. |
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
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16
[x]
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Тезисы докладов
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2013 |
| 38. |
D. Bykov, “Comments on blow-ups”, New Trends in High Energy Physics (23–29 сентября 2013 г., Алушта, Украина), ред. Laszlo Jenkovszky, Denis Savchenko, Georgiy Stelmakh, Институт теоретической физики им. Н. Н. Боголюбова, Киев, 2013, 166-171 |
| 39. |
D. Bykov, “The geometry of Haldane limits”, Proceedings of the 17th International Seminar QUARKS'2012 (4–10 июня 2012 г.), т. 1, ред. В. А. Матвеев, В. А. Рубаков, Institute for Nuclear research of the Russian Academy of Sciences, 2013, 180–192 |
Препринты
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2026 |
| 40. |
D. Bykov, V. Krivorol, Holomorphic Quantization in Constant Curvature Backgrounds, 2026 (Published online), 57 pp. https://arxiv.org/abs/2602.22984 |
| 41. |
D. Bykov, U. Lindström, M. Roček, The Large Vector Multiplet and Gauging (2,2) σ-models, 2026 (Published online), 9 pp. https://arxiv.org/abs/2605.18536 |
ArXiv
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2025 |
| 42. |
D. Bykov, A. Kuzovchikov, Isotropic embeddings of coadjoint orbits and magnetic geodesic flows, 2025, 32 pp., arXiv: 2503.08646 |
| 43. |
D. Bykov, A. Kuzovchikov, Sigma models from Gaudin spin chains, 2025, 43 pp., arXiv: 2508.20889 |
| 44. |
D. Bykov, S. Kutsubin, A. Kuzovchikov, T-duality for toric manifolds in $\mathcal{N}=(2,2)$ superspace, 2025, 37 pp., arXiv: 2512.24726 |
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2022 |
| 45. |
D. Bykov, Beta function of the level-zero Gross-Neveu model, 2022, 36 pp., arXiv: 2209.10502 |
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2020 |
| 46. |
D. Bykov, D. Lüst, Deformed sigma-models, Ricci flow and Toda field theories, 2020, arXiv: 2005.01812 |
| 47. |
D. Bykov, The $CP^{n-1}$-model with fermions: a new look, 2020, arXiv: 2009.04608 |
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2019 |
| 48. |
D. Bykov, Flag manifold sigma-models and nilpotent orbits, 2019, 12 pp., arXiv: 1911.07768 |
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2014 |
| 49. |
D. Bykov, Comments on the del Pezzo cone, 2014, 28 pp., arXiv: 1405.2319 |
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2013 |
| 50. |
D. Bykov, The Kahler metric of a blow-up, 2013, 38 pp., arXiv: 1307.2816 |
Personalia
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2022 |
| 51. |
И. Я. Арефьева, В. В. Белокуров, Э. Э. Боос, Д. В. Быков, И. В. Волович, Д. И. Казаков, В. В. Козлов, М. В. Либанов, В. А. Матвеев, В. А. Рубаков, Д. В. Трещёв, Г. В. Трубников, “Памяти Андрея Алексеевича Славнова”, УФН, 192:11 (2022), 1293–1294 ; 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 |
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