Skip to main content
Springer Nature Link
Log in

Finite-size dyonic giant magnons in TsT-transformed AdS 5 × S 5

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

We investigate dyonic giant magnons propagating on γ-deformed AdS5 × S 5 by Neumann-Rosochatius reduction method with a twisted boundary condition. We compute finite-size effect of the dispersion relations of dyonic giant magnons which generalizes the previously known case of the giant magnons with one angular momentum found by Bykov and Frolov.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J .M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [SPIRES].

    MATH  MathSciNet  ADS  Google Scholar 

  2. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  3. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].

    MATH  MathSciNet  Google Scholar 

  4. R.G. Leigh and M.J. Strassler, Exactly marginal operators and duality in four-dimensional N = 1 supersymmetric gauge theory, Nucl. Phys. B 447 (1995) 95 [hep-th/9503121] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  5. O. Lunin and J.M. Maldacena, Deforming field theories with U(1) × U(1) global symmetry and their gravity duals, JHEP 05 (2005) 033 [hep-th/0502086] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  6. S. Frolov, Lax pair for strings in Lunin-Maldacena background, JHEP 05 (2005) 069 [hep-th/0503201] [SPIRES].

    Article  ADS  Google Scholar 

  7. S. Ananth, S. Kovacs and H. Shimada, Proof of all-order finiteness for planar beta-deformed Yang-Mills, JHEP 01 (2007) 046 [hep-th/0609149] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  8. N. Beisert and R. Roiban, Beauty and the twist: the Bethe ansatz for twisted N = 4 SY M, JHEP 08 (2005) 039 [hep-th/0505187] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  9. G. Arutyunov and S. Frolov, Integrable Hamiltonian for classical strings on AdS 5 × S 5, JHEP 02 (2005) 059 [hep-th/0411089] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  10. S. Frolov, J . Plefka and M. Zamaklar, The AdS 5 × S 5 superstring in light-cone gauge and its Bethe equations, J. Phys. A 39 (2006) 13037 [hep-th/0603008] [SPIRES].

    MathSciNet  Google Scholar 

  11. D.M. Hofman and J.M. Maldacena, Giant magnons, J. Phys. A 39 (2006) 13095 [hep-th/0604135] [SPIRES].

    MathSciNet  Google Scholar 

  12. D.V. Bykov and S. Frolov, Giant magnons in TsT-transformed AdS 5 × S 5, JHEP 07 (2008) 071 [arXiv:0805.1070] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  13. G. Arutyunov, S. Frolov and M. Zamaklar, Finite-size effects from giant magnons, Nucl. Phys. B 778 (2007) 1 [hep-th/0606126] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  14. L.F. Alday, G. Arutyunov and S. Frolov, Green-Schwarz strings in TsT -transformed backgrounds, JHEP 06 (2006) 018 [hep-th/0512253] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  15. M. Kruczenski, J. Russo and A.A. Tseytlin, Spiky strings and giant magnons on S 5, JHEP 10 (2006) 002 [hep-th/0607044] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  16. M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. 1. Stable particle states, Commun. Math. Phys. 104 (1986) 177 [SPIRES].

    Article  MATH  ADS  Google Scholar 

  17. http://functions.wolfram.com.

  18. A.P. Prudnikov, Yu.A. Brychkov and O.I. Marichev, Integrals and series. Vol.3: more special functions, Gordon and Breach, New York U.S.A (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Ewha Womans University, DaeHyun 11-1, Seoul, 120-750, S. Korea

    Changrim Ahn

  2. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 1784, Sofia, Bulgaria

    P. Bozhilov

Authors
  1. Changrim Ahn
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Bozhilov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Changrim Ahn.

Additional information

ArXiv ePrint: 1005.2508

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ahn, C., Bozhilov, P. Finite-size dyonic giant magnons in TsT-transformed AdS 5 × S 5 . J. High Energ. Phys. 2010, 48 (2010). https://doi.org/10.1007/JHEP07(2010)048

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP07(2010)048

Keywords

Search

Navigation