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Bykov, Dmitrii Vladimirovich
Total publications:
47 (45)
in MathSciNet:
31 (30)
in zbMATH:
15 (14)
in Web of Science:
36 (34)
in Scopus:
33 (33)
Cited articles:
29
Citations:
370
Presentations:
44
Number of views:
This page: 6792 Abstract pages: 7469 Full texts: 2504 References: 644
Head Scientist Researcher
Doctor of physico-mathematical sciences (2018)
Speciality:
01.04.02 (Theoretical physics)
E-mail:
email , email
Website:
https://www.mi.ras.ru/~dbykov
Keywords:
gauge theory,
String theory,
AdS/CFT correspondence.
Subject:
Gauge theory; String theory; integrable models; AdS/CFT correspondence.
Main publications:
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, “The Geometry of Antiferromagnetic Spin Chains”, Communications in Mathematical Physics , 322 :3 (2013), 807–834
https://www.mathnet.ru/eng/person20601
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:bykov.d-v|bykov.dmitri
https://mathscinet.ams.org/mathscinet/MRAuthorID/781902
https://elibrary.ru/author_items.asp?authorid=150546
https://orcid.org/0000-0002-3719-3315
https://www.webofscience.com/wos/author/record/M-6550-2014
https://www.scopus.com/authid/detail.url?authorId=9276945700
https://www.researchgate.net/profile/Dmitri-Bykov-2
Full list of publications:
Citations (Crossref Cited-By Service + Math-Net.Ru )
2023
1.
Dmitri Bykov, “Quantum flag manifold $\sigma$ -models and Hermitian Ricci flow”, Comm. Math. Phys. , 401 (2023), 1–32 , arXiv: 2006.1412 ;
5
[x]
2.
D. V. Bykov, “Sigma models as Gross–Neveu models. II”, Theoret. and Math. Phys. , 217 :3 (2023), 1842–1854
3.
Dmitri Bykov, Andrei Smilga, “Monopole harmonics on $\mathbb{C}\mathbb{P}^{n-1}$ ”, SciPost Phys. , 15 (2023), 195 , 33 pp. ;
2
[x]
4.
Dmitri Bykov, “$\beta$ -function of the level-zero Gross–Neveu model”, SciPost Phys. , 15 :4 (2023), 127 , 27 pp. ;
2022
5.
Ian Affleck, Dmitri Bykov, Kyle Wamer, “Flag manifold sigma models: Spin chains and integrable theories”, Phys. Rep. , 953 (2022), 1–93 ;
13
[x]
6.
D. Bykov, Beta function of the level-zero Gross-Neveu model , 2022 , 36 pp., arXiv: 2209.10502
7.
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 ;
6
[x]
2021
8.
D. V. Bykov, “Sigma models as Gross–Neveu models”, Theoret. and Math. Phys. , 208 :2 (2021), 993–1003
9.
Dmitri Bykov, Dieter Lüst, “Deformed $\sigma$ -models, Ricci flow and Toda field theorie”, Lett. Math. Phys. , 111 (2021), 150 , 36 pp. ;
5
[x]
2020
10.
Dmitri V. Bykov, “Flag Manifold Sigma Models and Nilpotent Orbits”, Proc. Steklov Inst. Math. , 309 (2020), 78–86
11.
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 ;
3
[x]
12.
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 ;
2
[x]
13.
D. Bykov, D. Lüst, Deformed sigma-models, Ricci flow and Toda field theories , 2020 , arXiv: 2005.01812
14.
D. Bykov, The $CP^{n-1}$ -model with fermions: a new look , 2020 , arXiv: 2009.04608
2019
15.
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
11
[x]
16.
D. Bykov, Flag manifold sigma-models and nilpotent orbits , 2019 , 12 pp., arXiv: 1911.07768
2018
17.
Phys. Part. Nucl. , 49 :5 (2018), 963–965
18.
D. V. Bykov, “The $1/N$ -expansion for flag-manifold $\sigma$ -models”, Theoret. and Math. Phys. , 197 :3 (2018), 1691–1700
19.
Dmitri Bykov, “Ricci-flat metrics and Killing–Yano tensors”, QUARKS-2018 , EPJ Web of Conf., 191 , 2018, 06010 , 8 pp.
2017
20.
Dmitri Bykov, “Complex structure-induced deformations of $\sigma$ -models”, JHEP , 2017, no. 3, 130 , 26 pp., arXiv: 1611.07116
12
[x]
21.
D. V. Bykov, “A gauged linear formulation for flag-manifold $\sigma$ -models”, Theoret. and Math. Phys. , 193 :3 (2017), 1737–1753
2016
22.
Dmitri Bykov, “Classical solutions of a flag manifold $\sigma$ -model”, Nuclear Phys. B , 902 (2016), 292–301
20
[x]
23.
Dmitri Bykov, “Complex structures and zero-curvature equations for $\sigma$ -models”, Phys. Lett. B , 760 (2016), 341–344
19
[x]
24.
D. V. Bykov, “Cyclic gradings of Lie algebras and Lax pairs for $\sigma$ -models”, Theoret. and Math. Phys. , 189 :3 (2016), 1734–1741
25.
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
26.
D. Bykov, “Integrable properties of $\sigma$ -models with non-symmetric target spaces”, Nuclear Phys. B , 894 (2015), 254–267 , arXiv: 1412.3746
20
[x]
27.
D. V. Bykov, “The differential geometry of blow-ups”, Theoret. and Math. Phys. , 185 :2 (2015), 1636–1648
2014
28.
D. Bykov, Comments on the del Pezzo cone , 2014 , 28 pp., arXiv: 1405.2319
29.
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
30.
D. V. Bykov, “Geometric aspects of the holographic duality”, Theoret. and Math. Phys. , 181 :3 (2014), 1499–1508
2013
31.
D. Bykov, “The geometry of antiferromagnetic spin chains”, Comm. Math. Phys. , 322 :3 (2013), 807–834 , arXiv: 1206.2777
20
[x]
32.
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
33.
D. Bykov, The Kahler metric of a blow-up , 2013 , 38 pp., arXiv: 1307.2816
34.
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
35.
D. Bykov, “Haldane limits via Lagrangian embeddings”, Nuclear Phys. B , 855 :1 (2012), 100–127 , arXiv: 1104.1419
26
[x]
36.
D. Bykov, K. Zarembo, “Ladders for Wilson loops beyond leading order”, J. High Energy Phys. , 2012, no. 9, 057 , 14 pp., arXiv: 1206.7117
18
[x]
2011
37.
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
38.
D. V. Bykov, “Symmetry algebra of the AdS$_4{\times}\mathbb{CP}^3$ superstring”, Theoret. and Math. Phys. , 163 :1 (2010), 496–510
39.
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]
2009
40.
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
2
[x]
2008
41.
D. V. Bykov, A. A. Slavnov, “Matrix and vector models in the strong coupling limit”, Theoret. and Math. Phys. , 155 :2 (2008), 708–714
42.
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.
85
[x]
43.
D. Bykov, S. Frolov, “Giant magnons in $TsT$ -transformed $\mathrm{AdS}_5\times S^5$ ”, J. High Energy Phys. , 2008, no. 7, 071 , 18 pp.
40
[x]
2006
44.
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
45.
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.
Opening D. V. Bykov
International Conference "Fields & Strings 2024" February 5, 2024 09:30
2.
Supersymmetric sigma-model as Gross-Neve model D. V. Bykov
Seminar of the LHEP (MIPT) theory group May 17, 2023 14:00
3.
Grassmannian sigma models and nilpotent orbits D. V. Bykov
Shafarevich Seminar April 11, 2023 15:00
4.
Sigma models as Gross-Neveu models: supersymmetric case D. V. Bykov
Complex analysis and mathematical physics March 21, 2023 16:00
5.
Supersymmetric sigma models as Gross-Neveu models D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS February 8, 2023 13:30
6.
Supersymmetric sigma models as Gross-Neveu models D. V. Bykov
Academician Andrei A. Slavnov memorial conference December 22, 2022 11:00
7.
Sigma models as Gross-Neveu models: supersymmetric case D. V. Bykov
Complex analysis and mathematical physics November 29, 2022 16:00
8.
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
9.
Lecture 12. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" April 30, 2021 16:00
10.
Lecture 11. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" April 23, 2021 16:00
11.
Lecture 10. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" April 16, 2021 16:00
12.
Lecture 9. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" April 9, 2021 16:00
13.
Lecture 8. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" April 2, 2021 16:00
14.
Lecture 7. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" March 26, 2021 16:00
15.
Lecture 6. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" March 19, 2021 16:00
16.
Lecture 5. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" March 12, 2021 16:00
17.
Lecture 4. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" March 5, 2021 16:00
18.
Sigma models as Gross-Neveu models D. V. Bykov
Complex analysis and mathematical physics March 2, 2021 16:00
19.
Lecture 3. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" February 26, 2021 16:00
20.
Lecture 2. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" February 19, 2021 16:00
21.
Lecture 1. Flag manifold sigma models: spin chains and integrable theories D. V. Bykov
Course by D. V. Bykov "Flag manifold sigma models: spin chains and integrable theories" February 12, 2021 15:00
22.
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
23.
Sigma models as Gross–Neveu models D. V. Bykov
International conference in memory of M. K. Polivanov "Polivanov–90" December 16, 2020 17:30
24.
Flag manifold sigma-models: The $1/N$ -expansion and the anomaly two-form D. V. Bykov
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2019 November 20, 2019 16:00
25.
Риччи-плоские метрики на некомпактных многообразиях Калаби-Яу D. V. Bykov
Shafarevich Seminar June 11, 2019 11:00
26.
Сигма-модели пространств флагов D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS December 26, 2018 14:00
27.
Sigma-models with complex homogeneous target-spaces and equations of zero curvature D. V. Bykov
Complex analysis and mathematical physics March 20, 2018 16:00
28.
Риччи-плоские метрики на некомпактных многообразиях Калаби-Яу размерности три D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS December 27, 2017 15:00
29.
Комплексные структуры и уравнения нулевой кривизны для сигма-моделей D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS May 18, 2016 14:00
30.
Integrable properties of sigma-models with non-symmetric target spaces D. V. Bykov
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2015 November 11, 2015 15:50
31.
Классические решения сигма-модели пространства флагов D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS October 28, 2015 14:00
32.
Ricci-flat metrics on toric non-compact Calabi-Yau manifolds D. V. Bykov
Complex analysis and mathematical physics October 20, 2015 16:00
33.
Сигма-модель пространства флагов D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS December 24, 2014 14:00
34.
Теория возмущений для риччи-плоских метрик на конусах над торическими поверхностями D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS March 12, 2014 14:00
35.
Quantum field theory and elementary particle physics D. V. Bykov
Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences September 5, 2013 16:00
36.
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
37.
Haldane limit and Lagrangian embeddings D. V. Bykov
Complex analysis and mathematical physics April 8, 2013 16:00
38.
The geometry of antiferromagnetic spin chains Dmitry Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS June 20, 2012 14:00
39.
Аналитическое продолжение теории Лиувилля (обзор) D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS March 14, 2012 14:00
40.
Предел Халдейна и лагранжевы вложения. Часть 2 D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS May 11, 2011 14:00
41.
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
42.
Review of the recent paper of E. Witten “A new look at the path integral of quantum mechanics” (continuation) D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS December 8, 2010 14:00
43.
Review of the recent paper of E. Witten “A new look at the path integral of quantum mechanics” D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS November 24, 2010 14:00
44.
Giant magnons in deformed $AdS_5\times S^5$ D. V. Bykov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS June 18, 2008 14:00
Organisations