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Bykov Dmitrii Vladimirovich
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2026
1.	D. Bykov, V. Krivorol, Holomorphic Quantization in Constant Curvature Backgrounds, 2026 (Published online), 57 pp. https://arxiv.org/abs/2602.22984
2.	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

2025
3.	D. Bykov, A. Kuzovchikov, Isotropic embeddings of coadjoint orbits and magnetic geodesic flows, 2025, 32 pp., arXiv: 2503.08646
4.	D. Bykov, A. Kuzovchikov, Sigma models from Gaudin spin chains, 2025, 43 pp., arXiv: 2508.20889
5.	Dmitri Bykov, Viacheslav Krivorol, “Supersymmetric Grassmannian sigma models in Gross–Neveu formalism”, Lett. Math. Phys., 115 (2025), 85, 34 pp., arXiv: 2407.20423	1 ^[x]
6.	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	3 ^[x]
7.	D. Bykov, S. Kutsubin, A. Kuzovchikov, T-duality for toric manifolds in $\mathcal{N}=(2,2)$ superspace, 2025, 37 pp., arXiv: 2512.24726

2024
8.	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	7 ^[x]
9.	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	4 ^[x]
10.	Dmitry Bykov, Viacheslav Krivorol, “Grassmannian sigma models”, Adv. Theor. Math. Phys., 28:3 (2024), 1027–1079, arXiv: 2306.04555	3 ^[x]

2023
11.	Dmitri Bykov, “Quantum flag manifold $\sigma$-models and Hermitian Ricci flow”, Comm. Math. Phys., 401 (2023), 1–32, arXiv: 2006.1412	9 ^[x]
12.	D. V. Bykov, “Sigma models as Gross–Neveu models. II”, Theoret. and Math. Phys., 217:3 (2023), 1842–1854
13.	Dmitri Bykov, Andrei Smilga, “Monopole harmonics on $\mathbb{C}\mathbb{P}^{n-1}$”, SciPost Phys., 15 (2023), 195, 33 pp.	6 ^[x]
14.	Dmitri Bykov, “$\beta$-function of the level-zero Gross–Neveu model”, SciPost Phys., 15:4 (2023), 127, 27 pp.
15.	Dmitri Bykov, “Integrable sigma models on Riemann surfaces”, Phys. Rev. D, 107:8 (2023), 85015, 8 pp., arXiv: 2202.12805	3 ^[x]

2022
16.	Ian Affleck, Dmitri Bykov, Kyle Wamer, “Flag manifold sigma models: Spin chains and integrable theories”, Phys. Rep., 953 (2022), 1–93	25 ^[x]
17.	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
18.	D. Bykov, Beta function of the level-zero Gross-Neveu model, 2022, 36 pp., arXiv: 2209.10502
19.	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	9 ^[x]

2021
20.	D. V. Bykov, “Sigma models as Gross–Neveu models”, Theoret. and Math. Phys., 208:2 (2021), 993–1003
21.	Dmitri Bykov, Dieter Lüst, “Deformed $\sigma$-models, Ricci flow and Toda field theorie”, Lett. Math. Phys., 111 (2021), 150, 36 pp.	8 ^[x]

2020
22.	Dmitri V. Bykov, “Flag Manifold Sigma Models and Nilpotent Orbits”, Proc. Steklov Inst. Math., 309 (2020), 78–86
23.	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	4 ^[x]
24.	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	4 ^[x]
25.	D. Bykov, D. Lüst, Deformed sigma-models, Ricci flow and Toda field theories, 2020, arXiv: 2005.01812
26.	D. Bykov, The $CP^{n-1}$-model with fermions: a new look, 2020, arXiv: 2009.04608

2019
27.	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	12 ^[x]
28.	D. Bykov, Flag manifold sigma-models and nilpotent orbits, 2019, 12 pp., arXiv: 1911.07768

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

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

2016
34.	Dmitri Bykov, “Classical solutions of a flag manifold $\sigma$-model”, Nuclear Phys. B, 902 (2016), 292–301	21 ^[x]
35.	Dmitri Bykov, “Complex structures and zero-curvature equations for $\sigma$-models”, Phys. Lett. B, 760 (2016), 341–344	22 ^[x]
36.	D. V. Bykov, “Cyclic gradings of Lie algebras and Lax pairs for $\sigma$-models”, Theoret. and Math. Phys., 189:3 (2016), 1734–1741
37.	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
38.	D. Bykov, “Integrable properties of $\sigma$-models with non-symmetric target spaces”, Nuclear Phys. B, 894 (2015), 254–267, arXiv: 1412.3746	23 ^[x]
39.	D. V. Bykov, “The differential geometry of blow-ups”, Theoret. and Math. Phys., 185:2 (2015), 1636–1648

2014
40.	D. Bykov, Comments on the del Pezzo cone, 2014, 28 pp., arXiv: 1405.2319
41.	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
42.	D. V. Bykov, “Geometric aspects of the holographic duality”, Theoret. and Math. Phys., 181:3 (2014), 1499–1508

2013
43.	D. Bykov, “The geometry of antiferromagnetic spin chains”, Comm. Math. Phys., 322:3 (2013), 807–834, arXiv: 1206.2777	27 ^[x]
44.	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
45.	D. Bykov, The Kahler metric of a blow-up, 2013, 38 pp., arXiv: 1307.2816
46.	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
47.	D. Bykov, “Haldane limits via Lagrangian embeddings”, Nuclear Phys. B, 855:1 (2012), 100–127, arXiv: 1104.1419	34 ^[x]
48.	D. Bykov, K. Zarembo, “Ladders for Wilson loops beyond leading order”, J. High Energy Phys., 2012, no. 9, 057, 14 pp., arXiv: 1206.7117	19 ^[x]

2011
49.	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
50.	D. V. Bykov, “Symmetry algebra of the AdS$_4{\times}\mathbb{CP}^3$ superstring”, Theoret. and Math. Phys., 163:1 (2010), 496–510
51.	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	16 ^[x]

Full list of publications