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Nuclear Physics B, 2015, Volume 894, Pages 254–267
DOI: https://doi.org/10.1016/j.nuclphysb.2015.03.005
(Mi nphb2)
 

This article is cited in 21 scientific papers (total in 21 papers)

Integrable properties of σ-models with non-symmetric target spaces

Dmitri Bykovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, 119991 Moscow, Russia
b Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Potsdam-Golm, Germany
Citations (21)
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00695-a
13-01-12405 ofi-m2
Ministry of Education and Science of the Russian Federation MK-2510.2014.1
My work was supported in part by grants RFBR 14-01-00695-a, 13-01-12405 ofi-m2 and the grant MK-2510.2014.1 of the President of Russia Grant Council.
Received: 07.01.2015
Revised: 05.03.2015
Accepted: 05.03.2015
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/nphb2
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    This publication is cited in the following 21 articles:
    1. Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi, “Moduli spaces of instantons in flag manifold sigma models. Vortices in quiver gauge theories”, J. High Energ. Phys., 2024:2 (2024)  crossref
    2. Dmitri Bykov, Andrew Kuzovchikov, “The classical and quantum particle on a flag manifold”, Class. Quantum Grav., 41:20 (2024), 205009  crossref
    3. Mattia Cesàro, Axel Kleinschmidt, David Osten, “Integrable auxiliary field deformations of coset models”, J. High Energ. Phys., 2024:11 (2024)  crossref
    4. Dmitri Bykov, “Quantum flag manifold σ-models and Hermitian Ricci flow”, Comm. Math. Phys., 401 (2023), 1–32  mathnet  crossref
    5. David Osten, “Lax pairs for new ZN-symmetric coset σ-models and their Yang-Baxter deformations”, Nuclear Physics B, 981 (2022), 115856  crossref
    6. Ian Affleck, Dmitri Bykov, Kyle Wamer, “Flag manifold sigma models: Spin chains and integrable theories”, Phys. Rep., 953 (2022), 1–93  mathnet  crossref  isi  scopus
    7. Jia Tian, Jue Hou, Bin Chen, “Notes on index of quantum integrability”, Commun. Theor. Phys., 73:5 (2021), 055001  crossref
    8. Dmitri Bykov, Dieter Lüst, “Deformed σ-models, Ricci flow and Toda field theorie”, Lett. Math. Phys., 111 (2021), 150–36  mathnet  crossref  isi  scopus
    9. Saskia Demulder, Falk Hassler, Giacomo Piccinini, Daniel C. Thompson, “Integrable deformation of ℂPn and generalised Kähler geometry”, J. High Energ. Phys., 2020:10 (2020)  crossref
    10. F. Delduc, T. Kameyama, S. Lacroix, M. Magro, B. Vicedo, “Ultralocal Lax connection for para-complex ZT-cosets”, Nuclear Physics B, 949 (2019), 114821  crossref
    11. Dmitri Bykov, “Flag manifold σ-models: The 1N-expansion and the anomaly two-form”, Nuclear Phys. B, 941 (2019), 316–360  mathnet  crossref  isi  scopus
    12. Shota Komatsu, Raghu Mahajan, Shu-Heng Shao, “An index for quantum integrability”, SciPost Phys., 7:5 (2019)  crossref
    13. D. V. Bykov, “The 1/N-expansion for flag-manifold σ-models”, Theoret. and Math. Phys., 197:3 (2018), 1691–1700  mathnet  mathnet  crossref  crossref  isi  scopus
    14. Yuki Amari, Nobuyuki Sawado, “BPS sphalerons in the F2 nonlinear sigma model”, Phys. Rev. D, 97:6 (2018)  crossref
    15. Yuki Amari, Nobuyuki Sawado, “SU(3) knot solitons: Hopfions in the F2 Skyrme–Faddeev–Niemi model”, Physics Letters B, 784 (2018), 294  crossref
    16. D. V. Bykov, “A gauged linear formulation for flag-manifold σ-models”, Theoret. and Math. Phys., 193:3 (2017), 1737–1753  mathnet  mathnet  crossref  crossref  isi  scopus
    17. Dmitri Bykov, “Complex structure-induced deformations of σ-models”, JHEP, 2017, no. 3, 130–26  mathnet  crossref  isi  scopus
    18. Dmitri Bykov, “Classical solutions of a flag manifold σ-model”, 902, 2016, 292–301  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
    19. Dmitri Bykov, “Sigma-models with complex homogeneous target spaces”, EPJ Web of Conf., 125 (2016), 5002–7  mathnet  crossref  isi  scopus
    20. D. V. Bykov, “Cyclic gradings of Lie algebras and Lax pairs for σ-models”, Theoret. and Math. Phys., 189:3 (2016), 1734–1741  mathnet  mathnet  crossref  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
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