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Journal of High Energy Physics, Published
DOI: https://doi.org/10.1007/JHEP10(2014)050
(Mi jhep13)
 

This article is cited in 28 scientific papers (total in 28 papers)

Deformed Neumann model from spinning strings on $\mathrm{(AdS_5\times S^5)}_\eta$

G. Arutyunovabc, D. Medina-Rinconba

a Spinoza Institute, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands
b Institute for Theoretical Physics, Utrecht University, The Netherlands
c Steklov Mathematical Institute, Moscow, Russia
Citations (28)
Abstract: We show that bosonic spinning strings on the $\eta$-deformed $\mathrm{(AdS_5\times S^5)}$ background are naturally described as periodic solutions of a novel finite-dimensional integrable system which can be viewed as a deformation of the celebrated Neumann model. For this deformed model we find the Lax representation and the analogue of the Uhlenbeck integrals.
Funding agency Grant number
Netherlands Organization for Scientific Research VICI 680-47-602
European Research Council 246974
G.A. acknowledges the support by the Netherlands Organization for Scientific Research (NWO) under the VICI grant 680-47-602. The work by G.A. is also a part of the ERC Advanced grant research programme No. 246974, “Supersymmetry: a window to nonperturbative physics” and of the D-ITP consortium, a program of the NWO that is funded by the Dutch Ministry of Education, Culture and Science (OCW). The work of D.M. was supported in part by Compania Colombiana Automotriz S.A. and Fundacion Mazda para el Arte y la Ciencia.
Received: 16.08.2014
Revised: 15.09.2014
Accepted: 15.09.2014
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/jhep13
  • This publication is cited in the following 28 articles:
    1. Rafael Hernández, Roberto Ruiz, “Double Yang-Baxter deformation of spinning strings”, J. High Energ. Phys., 2020:6 (2020)  crossref
    2. I. Bakhmatov, E. Ó Colgáin, M. M. Sheikh-Jabbari, H. Yavartanoo, “Yang-Baxter deformations beyond coset spaces (a slick way to do TsT)”, J. High Energ. Phys., 2018:6 (2018)  crossref
    3. Aritra Banerjee, Arpan Bhattacharyya, “Probing analytical and numerical integrability: the curious case of (AdS5 × S5)η”, J. High Energ. Phys., 2018:11 (2018)  crossref
    4. Juan Miguel Nieto, Springer Theses, Spinning Strings and Correlation Functions in the AdS/CFT Correspondence, 2018, 77  crossref
    5. Dibakar Roychowdhury, “Multispin magnons on deformed AdS3×S3”, Phys. Rev. D, 95:8 (2017)  crossref
    6. Gleb Arutyunov, Martin Heinze, Daniel Medina-Rincon, “Superintegrability of geodesic motion on the sausage model”, J. Phys. A, 50:24 (2017), 244002–29  mathnet  crossref  isi  scopus
    7. Rafael Hernández, Juan Miguel Nieto, “Spinning strings in the η -deformed Neumann-Rosochatius system”, Phys. Rev. D, 96:8 (2017)  crossref
    8. T. Araujo, E. Ó Colgáin, J. Sakamoto, M. M. Sheikh-Jabbari, K. Yoshida, “I in generalized supergravity”, Eur. Phys. J. C, 77:11 (2017)  crossref
    9. San-Min Ke, Wen-Li Yang, Ke-Xia Jang, Chun Wang, Xue-Min Shuai, Zhan-Yun Wang, Gang Shi, “Yang-Baxter deformations of supercoset sigma models with ℤ
      4 m
      grading”, Chinese Phys. C, 41:11 (2017), 113101  crossref
    10. Gleb Arutyunov, Martin Heinze, Daniel Medina-Rincon, “Integrability of the $\eta$-deformed Neumann–Rosochatius model”, J. Phys. A, 50:3 (2017), 35401–23  mathnet  crossref  isi  scopus
    11. Plamen Bozhilov, “Some three-point correlation functions in the η-deformed AdS5 × S5”, Int. J. Mod. Phys. A, 31:01 (2016), 1550224  crossref
    12. Aritra Banerjee, Kamal L. Panigrahi, “On circular strings in (AdS3 × S 3)ϰ”, J. High Energ. Phys., 2016:9 (2016)  crossref
    13. Saskia Demulder, Daniele Dorigoni, Daniel C. Thompson, “Resurgence in η-deformed Principal Chiral Models”, J. High Energ. Phys., 2016:7 (2016)  crossref
    14. Takashi Kameyama, “Minimal surfaces inq-deformed AdS5xS5”, J. Phys.: Conf. Ser., 670 (2016), 012028  crossref
    15. Takashi Kameyama, Kentaroh Yoshida, “Generalized quark–antiquark potentials from aq-deformed AdS5× S5background”, Prog. Theor. Exp. Phys., 2016:6 (2016), 063B01  crossref
    16. Gleb Arutyunov, Riccardo Borsato, Sergey Frolov, “Puzzles of η-deformed AdS5 × S5”, J. High Energ. Phys., 2015:12 (2015), 1  crossref
    17. Calan Appadu, Timothy J. Hollowood, “Beta function of k deformed AdS5 × S 5 string theory”, J. High Energ. Phys., 2015:11 (2015)  crossref
    18. Gleb Arutyunov, Stijn J. van Tongeren, “Double Wick rotating Green-Schwarz strings”, J. High Energ. Phys., 2015:5 (2015)  crossref
    19. Nan Bai, Hui-Huang Chen, Jun-Bao Wu, “Holographic cusped Wilson loops in q -deformed AdS 5 × S 5 spacetime”, Chinese Phys. C, 39:10 (2015), 103102  crossref
    20. Takashi Kameyama, Kentaroh Yoshida, “Minimal surfaces inq-deformed ${\rm Ad}{{{\rm S}}_{5}}$ × S5with Poincaré coordinates”, J. Phys. A: Math. Theor., 48:24 (2015), 245401  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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