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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:6766
Abstract pages:7426
Full texts:2498
References:640
Bykov, Dmitrii Vladimirovich
Head Scientist Researcher
Doctor of physico-mathematical sciences (2018)
Speciality: 01.04.02 (Theoretical physics)
E-mail: ,
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:
  1. D. Bykov, “Haldane limits via Lagrangian embeddings”, Nuclear Physics B, 855 (2012), 100–127  crossref  adsnasa
  2. 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  crossref  mathscinet  zmath  adsnasa
  3. 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:
| scientific publications | by years | by types | by times cited | common list |


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  mathnet  crossref  mathscinet; 5
2. D. V. Bykov, “Sigma models as Gross–Neveu models. II”, Theoret. and Math. Phys., 217:3 (2023), 1842–1854  mathnet  crossref  crossref  mathscinet  adsnasa  scopus
3. Dmitri Bykov, Andrei Smilga, “Monopole harmonics on $\mathbb{C}\mathbb{P}^{n-1}$”, SciPost Phys., 15 (2023), 195 , 33 pp.  mathnet  crossref  mathscinet  isi; 2
4. Dmitri Bykov, “$\beta$-function of the level-zero Gross–Neveu model”, SciPost Phys., 15:4 (2023), 127 , 27 pp.  mathnet  crossref  mathscinet  isi;

   2022
5. Ian Affleck, Dmitri Bykov, Kyle Wamer, “Flag manifold sigma models: Spin chains and integrable theories”, Phys. Rep., 953 (2022), 1–93  mathnet  crossref  mathscinet  isi  scopus; 13
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  mathnet  crossref  mathscinet; 6
8. 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  mathnet  crossref  crossref  isi

   2021
9. D. V. Bykov, “Sigma models as Gross–Neveu models”, Theoret. and Math. Phys., 208:2 (2021), 993–1003  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
10. Dmitri Bykov, Dieter Lüst, “Deformed $\sigma$-models, Ricci flow and Toda field theorie”, Lett. Math. Phys., 111 (2021), 150 , 36 pp.  mathnet  crossref  isi  scopus; 5

   2020
11. Dmitri V. Bykov, “Flag Manifold Sigma Models and Nilpotent Orbits”, Proc. Steklov Inst. Math., 309 (2020), 78–86  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
12. 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  mathnet  crossref  mathscinet  isi  isi  scopus; 3
13. 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  mathnet  crossref  mathscinet  isi  scopus; 2
14. D. Bykov, D. Lüst, Deformed sigma-models, Ricci flow and Toda field theories, 2020 , arXiv: 2005.01812
15. D. Bykov, The $CP^{n-1}$-model with fermions: a new look, 2020 , arXiv: 2009.04608

   2019
16. 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  mathnet  crossref  mathscinet  zmath  isi  scopus 11
17. D. Bykov, Flag manifold sigma-models and nilpotent orbits, 2019 , 12 pp., arXiv: 1911.07768

   2018
18. Phys. Part. Nucl., 49:5 (2018), 963–965  mathnet  crossref  isi  elib  scopus
19. D. V. Bykov, “The $1/N$-expansion for flag-manifold $\sigma$-models”, Theoret. and Math. Phys., 197:3 (2018), 1691–1700  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
20. Dmitri Bykov, “Ricci-flat metrics and Killing–Yano tensors”, QUARKS-2018, EPJ Web of Conf., 191, 2018, 06010 , 8 pp.  mathnet  crossref  isi  scopus

   2017
21. Dmitri Bykov, “Complex structure-induced deformations of $\sigma$-models”, JHEP, 2017, no. 3, 130 , 26 pp., arXiv: 1611.07116  mathnet  crossref  mathscinet  isi  scopus 12
22. D. V. Bykov, “A gauged linear formulation for flag-manifold $\sigma$-models”, Theoret. and Math. Phys., 193:3 (2017), 1737–1753  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2016
23. Dmitri Bykov, “Classical solutions of a flag manifold $\sigma$-model”, Nuclear Phys. B, 902 (2016), 292–301  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 20
24. Dmitri Bykov, “Complex structures and zero-curvature equations for $\sigma$-models”, Phys. Lett. B, 760 (2016), 341–344  mathnet  crossref  isi  elib  scopus 19
25. D. V. Bykov, “Cyclic gradings of Lie algebras and Lax pairs for $\sigma$-models”, Theoret. and Math. Phys., 189:3 (2016), 1734–1741  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
26. 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.  mathnet  crossref  isi  scopus

   2015
27. D. Bykov, “Integrable properties of $\sigma$-models with non-symmetric target spaces”, Nuclear Phys. B, 894 (2015), 254–267 , arXiv: 1412.3746  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 20
28. D. V. Bykov, “The differential geometry of blow-ups”, Theoret. and Math. Phys., 185:2 (2015), 1636–1648  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2014
29. D. Bykov, Comments on the del Pezzo cone, 2014 , 28 pp., arXiv: 1405.2319
30. 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  mathnet  crossref  elib  scopus
31. D. V. Bykov, “Geometric aspects of the holographic duality”, Theoret. and Math. Phys., 181:3 (2014), 1499–1508  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2013
32. D. Bykov, “The geometry of antiferromagnetic spin chains”, Comm. Math. Phys., 322:3 (2013), 807–834 , arXiv: 1206.2777  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 20
33. 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
34. D. Bykov, The Kahler metric of a blow-up, 2013 , 38 pp., arXiv: 1307.2816
35. 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
36. D. Bykov, “Haldane limits via Lagrangian embeddings”, Nuclear Phys. B, 855:1 (2012), 100–127 , arXiv: 1104.1419  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 26
37. D. Bykov, K. Zarembo, “Ladders for Wilson loops beyond leading order”, J. High Energy Phys., 2012, no. 9, 057 , 14 pp., arXiv: 1206.7117  mathnet  crossref  mathscinet  adsnasa  isi  scopus 18

   2011
38. 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  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2010
39. D. V. Bykov, “Symmetry algebra of the AdS$_4{\times}\mathbb{CP}^3$ superstring”, Theoret. and Math. Phys., 163:1 (2010), 496–510  mathnet  crossref  crossref  zmath  adsnasa  isi  elib  elib  scopus
40. 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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 16

   2009
41. 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  crossref  mathscinet  zmath  isi  elib  scopus 2

   2008
42. D. V. Bykov, A. A. Slavnov, “Matrix and vector models in the strong coupling limit”, Theoret. and Math. Phys., 155:2 (2008), 708–714  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
43. 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.  crossref  mathscinet  isi  scopus 85
44. 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.  crossref  mathscinet  isi  scopus 40
45. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib

   2006
46. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2005
47. D. V. Bykov, A. A. Slavnov, “Dimension-Two Vacuum Condensates in Gauge-Invariant Theories”, Theoret. and Math. Phys., 145:2 (2005), 1495–1503  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

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

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