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Spiky strings, giant magnons, and β deformations

N. P. Bobev1,* and R. C. Rashkov2,†

  • 1Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484, USA
  • 2Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10, 1040 Vienna, Austria

  • *bobev@usc.edu
  • †On leave from Department of Physics, Sofia University, Bulgaria. rash@hep.itp.tuwien.ac.at
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Phys. Rev. D 76, 046008 – Published 27 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.046008

Abstract

We study rigid string solutions rotating on the S3 subspace of the β-deformed AdS5×S5 background found by Lunin and Maldacena. For particular values of the parameters of the solutions we find the known giant magnon and single spike strings. We present a single spike string solution on the deformed S3 and find how the deformation affects the dispersion relation. The possible relation of this string solution to spin chains and the connection of the solutions on the undeformed S3 to the sine-Gordon model are briefly discussed.

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References (44)

  1. G. ’t Hooft, Nucl. Phys. B72, 461 (1974).
  2. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998); Int. J. Theor. Phys. 38, 1113 (1999); S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998); E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998).
  3. D. M. Hofman and J. M. Maldacena, J. Phys. A 39, 13095 (2006).
  4. J. Maldacena and I. Swanson, Phys. Rev. D 76, 026002 (2007).
  5. J. A. Minahan and K. Zarembo, J. High Energy Phys. 03 (2003) 013.
  6. L. D. Faddeev, arXiv:hep-th/9605187.
  7. M. Kruczenski, Phys. Rev. Lett. 93, 161602 (2004).
  8. H. Dimov and R. C. Rashkov, Int. J. Mod. Phys. A 20, 4337 (2005).
  9. R. Hernandez and E. Lopez, J. High Energy Phys. 04 (2004) 052.
  10. M. Kruczenski, A. V. Ryzhov, and A. A. Tseytlin, Nucl. Phys. B692, 3 (2004); B. J. Stefanski and A. A. Tseytlin, J. High Energy Phys. 05 (2004) 042; Nucl. Phys. B718, 83 (2005).
  11. N. Beisert, Phys. Rep. 405, 1 (2004).
  12. A. A. Tseytlin, arXiv:hep-th/0311139; arXiv:hep-th/0409296.
  13. J. Plefka, arXiv:hep-th/0507136.
  14. I. Bena, J. Polchinski, and R. Roiban, Phys. Rev. D 69, 046002 (2004).
  15. N. Dorey, J. Phys. A 39, 13119 (2006).
  16. H. Y. Chen, N. Dorey, and K. Okamura, J. High Energy Phys. 09 (2006) 024.
  17. G. Arutyunov, S. Frolov, and M. Zamaklar, arXiv:hep-th/0606126.
  18. J. A. Minahan, A. Tirziu, and A. A. Tseytlin, J. High Energy Phys. 08 (2006) 049.
  19. S. Ryang, J. High Energy Phys. 12 (2006) 043.
  20. M. Spradlin and A. Volovich, J. High Energy Phys. 10 (2006) 012.
  21. M. Kruczenski, J. Russo, A. A. Tseytlinand , J. High Energy Phys. 10 (2006) 002.
  22. C. Kalousios, M. Spradlin, and A. Volovich, J. High Energy Phys. 03 (2007) 020.
  23. G. Papathanasiou and M. Spradlin, arXiv:0704.2389.
  24. C. S. Chu, G. Georgiou, and V. V. Khoze, J. High Energy Phys. 11 (2006) 093.
  25. N. P. Bobev and R. C. Rashkov, Phys. Rev. D 74, 046011 (2006).
  26. M. Kruczenski, J. High Energy Phys. 08 (2005) 014.
  27. S. Ryang, J. High Energy Phys. 08 (2005) 047.
  28. T. McLoughlin and X. Wu, J. High Energy Phys. 08 (2006) 063.
  29. A. E. Mosaffa and B. Safarzadeh, arXiv:0705.3131.
  30. R. Ishizeki and M. Kruczenski, arXiv:0705.2429.
  31. O. Lunin and J. M. Maldacena, J. High Energy Phys. 05 (2005) 033.
  32. R. G. Leigh and M. J. Strassler, Nucl. Phys. B447, 95 (1995).
  33. S. Frolov, J. High Energy Phys. 05 (2005) 069.
  34. N. Beisert, arXiv:hep-th/0511082.
  35. R. Roiban, A. Tirziu, and A. A. Tseytlin, Phys. Rev. D 73, 066003 (2006).
  36. S. A. Frolov, R. Roiban, and A. A. Tseytlin, J. High Energy Phys. 07 (2005) 045.
  37. S. A. Frolov, R. Roiban, and A. A. Tseytlin, Nucl. Phys. B731, 1 (2005).
  38. N. P. Bobev, H. Dimov, and R. C. Rashkov, arXiv:hep-th/0506063.
  39. S. Ryang, J. High Energy Phys. 11 (2005) 006.
  40. H. Y. Chen and S. Prem Kumar, J. High Energy Phys. 03 (2006) 051; H. Y. Chen and K. Okamura, 02 (2006) 054.
  41. T. McLoughlin and I. Swanson, J. High Energy Phys. 08 (2006) 084.
  42. I. Swanson, Mod. Phys. Lett. A 22, 915 (2007).
  43. N. Beisert and R. Roiban, J. High Energy Phys. 08 (2005) 039.
  44. N. P. Bobev and R. C. Rashkov (unpublished).

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Phys. Rev. D 76, 046008– Published 27 August, 2007
  • Received 13 June 2007

© 2007 American Physical Society

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