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Advances in High Energy Physics
Volume 2009 (2009), Article ID 953987, 22 pages
http://dx.doi.org/10.1155/2009/953987
Research Article

On the Pulsating Strings in

1Department of Physics, Sofia University, 5 J. Bourchier Boule vard, 1164 Sofia, Bulgaria
2Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstr. 8-10, 1040 Vienna, Austria

Received 25 August 2009; Accepted 19 October 2009

Academic Editor: Kadayam S. Viswanathan

Copyright © 2009 H. Dimov and R. C. Rashkov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. Maldacena, “The large N limit of superconformal field theories and supergravity,” Advances in Theoretical and Mathematical Physics, vol. 2, no. 2, pp. 231–252, 1998. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Physics Letters B, vol. 428, no. 1-2, pp. 105–114, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  3. E. Witten, “Anti de Sitter space and holography,” Advances in Theoretical and Mathematical Physics, vol. 2, no. 2, pp. 253–291, 1998. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. J. Bagger and N. Lambert, “Modeling multiple M2-branes,” Physical Review D, vol. 75, no. 4, Article ID 045020, 7 pages, 2007. View at Google Scholar · View at MathSciNet
  5. A. Gustavsson, “Algebraic structures on parallel M2 branes,” Nuclear Physics B, vol. 811, no. 1-2, pp. 66–76, 2009. View at Publisher · View at Google Scholar · View at Scopus
  6. J. Bagger and N. Lambert, “Gauge symmetry and supersymmetry of multiple M2-branes,” Physical Review D, vol. 77, no. 6, Article ID 065008, 2008. View at Publisher · View at Google Scholar · View at Scopus
  7. J. Bagger and N. Lambert, “Comments on multiple M2-branes,” Journal of High Energy Physics, no. 2, article 105, 2008. View at Publisher · View at Google Scholar · View at Scopus
  8. J. H. Schwarz, “Superconformal Chern-Simons theories,” Journal of High Energy Physics, vol. 8, no. 11, pp. 1865–1877, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  9. O. Aharony, O. Bergman, D. L. Jafferis, and J. Maldacena, “𝒩=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” Journal of High Energy Physics, no. 10, 2008. View at Publisher · View at Google Scholar · View at Scopus
  10. I. Bena, J. Polchinski, and R. Roiban, “Hidden symmetries of the AdS5×S5 superstring,” Physical Review D, vol. 69, no. 4, Article ID 046002, 7 pages, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  11. G. Arutyunov and S. Frolov, “Integrable hamiltonian for classical strings on AdS5×S5,” Journal of High Energy Physics, no. 2, article 059, pp. 1–29, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  12. S. Frolov, J. Plefka, and M. Zamaklar, “The AdS5×S5 superstring in light-cone gauge and its Bethe equations,” Journal of Physics A, vol. 39, no. 41, pp. 13037–13081, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. N. Beisert, “The su(2|2) dynamic s-matrix,” Advances in Theoretical and Mathematical Physics, vol. 12, no. 5, pp. 945–979, 2008. View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  14. G. Arutyunov, S. Frolov, J. Plefka, and M. Zamaklar, “The off-shell symmetry algebra of the light-cone AdS5×S5 superstring,” Journal of Physics A, vol. 40, no. 13, pp. 3583–3605, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. V. A. Kazakov, A. Marshakov, J. A. Minahan, and K. Zarembo, “Classical/quantum integrability in AdS/CFT,” Journal of High Energy Physics, no. 5, article 024, pp. 1–55, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  16. N. Beisert, V. A. Kazakov, K. Sakai, and K. Zarembo, “The algebraic curve of classical superstrings on AdS5×S5,” Communications in Mathematical Physics, vol. 263, no. 3, pp. 659–710, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. G. Arutyunov, S. Frolov, and M. Staudacher, “Bethe ansatz for quantum strings,” Journal of High Energy Physics, no. 10, article 016, pp. 1–21, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  18. R. A. Janik, “The AdS5×S5 superstring worldsheet S matrix and crossing symmetry,” Physical Review D, vol. 73, no. 8, Article ID 086006, 10 pages, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  19. N. Beisert, R. Hernández, and E. López, “A crossing-symmetric phase for AdS5×S5 strings,” Journal of High Energy Physics, no. 11, article 070, pp. 1–34, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  20. N. Beisert, B. Eden, and M. Staudacher, “Transcendentality and crossing,” Journal of Statistical Mechanics: Theory and Experiment, no. 1, article P01021, 2007. View at Publisher · View at Google Scholar · View at Scopus
  21. A. Das, A. Melikyan, M. Sato, and J. Maharana, “The algebra of transition matrices for the AdS5×S5 superstring,” Journal of High Energy Physics, vol. 8, no. 12, pp. 1295–1315, 2004. View at Google Scholar · View at Scopus
  22. A. Das, A. Melikyan, and M. Sato, “The algebra of flat currents for the string on AdS5×S5 in the light-cone gauge,” Journal of High Energy Physics, no. 11, article 015, pp. 1–26, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  23. L. F. Alday, G. Arutyunov, and A. A. Tseytlin, “On integrability of classical superstrings in AdS5×S5,” Journal of High Energy Physics, no. 7, article 002, pp. 23–52, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  24. M. Kruczenski, “Spiky strings and single trace operators in gauge theories,” Journal of High Energy Physics, no. 8, article 014, pp. 403–423, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  25. M. Kruczenski, J. G. Russo, and A. A. Tseytlin, “Spiky strings and giant magnons on S5,” Journal of High Energy Physics, no. 10, article 002, pp. 1–32, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  26. J. Klusoň, R. R. Nayak, and K. L. Panigrahi, “Giant magnon in NS5-brane background,” Journal of High Energy Physics, no. 4, article 099, pp. 1–18, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  27. N. P. Bobev and R. C. Rashkov, “Spiky strings, giant magnons, and β deformations,” Physical Review D, vol. 76, no. 4, Article ID 046008, 9 pages, 2007. View at Google Scholar · View at MathSciNet
  28. N. P. Bobev and R. C. Rashkov, “Multispin giant magnons,” Physical Review D, vol. 74, no. 4, Article ID 046011, 2006. View at Publisher · View at Google Scholar · View at Scopus
  29. H. Dimov and R. C. Rashkov, “On the anatomy of multi-spin magnon and single spike string solutions,” Nuclear Physics B, vol. 799, no. 3, pp. 255–290, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  30. P. Bozhilov and R. C. Rashkov, “On the multi-spin magnon and spike solutions from membranes,” Nuclear Physics B, vol. 794, no. 3, pp. 429–441, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  31. B.-H. Lee, R. R. Nayak, K. L. Panigrahi, and C. Park, “On the giant magnon and spike solutions for strings on AdS5×S5,” Journal of High Energy Physics, no. 6, article 065, pp. 1–18, 2008. View at Google Scholar · View at MathSciNet
  32. G. Arutyunov and S. Frolov, “Superstrings on AdS4×3 as a coset sigma-model,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  33. B. Stefański Jr., “Green-Schwarz action for type IIA strings on AdS4×3,” Nuclear Physics B, vol. 808, no. 1-2, pp. 80–87, 2009. View at Publisher · View at Google Scholar · View at Scopus
  34. J. Gomis, D. Sorokin, and L. Wulff, “The complete AdS4×3 superspace for the type IIA superstring and D-branes,” Journal of High Energy Physics, no. 3, article 015, pp. 1–41, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  35. T. McLoughlin and R. Roiban, “Spinning strings at one-loop in AdS4×3,” Journal of High Energy Physics, no. 12, article 101, 2008. View at Publisher · View at Google Scholar
  36. L. F. Alday, G. Arutyunov, and D. Bykov, “Semiclassical quantization of spinning strings in AdS4×3,” Journal of High Energy Physics, no. 11, article 089, pp. 1–21, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  37. M. Benna, I. Klebanov, T. Klose, and M. Smedbäck, “Superconformal Chern-Simons theories and AdS4/CFT3 correspondence,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  38. A. Mauri and A. C. Petkou, “An 𝒩=1 superfield action for M2 branes,” Physics Letters B, vol. 666, no. 5, pp. 527–532, 2008. View at Publisher · View at Google Scholar · View at Scopus
  39. J. Bhattacharya and S. Minwalla, “Superconformal indices for 𝒩=6 Chern Simons theories,” Journal of High Energy Physics, no. 1, 2009. View at Publisher · View at Google Scholar · View at Scopus
  40. T. Nishioka and T. Takayanagi, “On type IIA Penrose limit and 𝒩=6 Chern-Simons theories,” Journal of High Energy Physics, no. 8, article 001, pp. 1–18, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  41. C. Caviezel, P. Koerber, S. Körs, D. Lüst, D. Tsimpis, and M. Zagermann, “The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets,” Classical and Quantum Gravity, vol. 26, no. 2, Article ID 025014, 2009. View at Publisher · View at Google Scholar · View at Scopus
  42. J. A. Minahan and K. Zarembo, “The Bethe ansatz for superconformal Chern-Simons,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  43. D. Gaiotto and X. Yin, “Notes on superconformal Chern-Simons-matter theories,” Journal of High Energy Physics, no. 8, article 056, pp. 1–40, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  44. A. Armoni and A. Naqvi, “A non-supersymmetric large-N 3D CFT and its gravity dual,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  45. D. Gaiotto, S. Giombi, and X. Yin, “Spin chains in 𝒩=6 superconformal Chern-Simons-Matter theory,” Journal of High Energy Physics, no. 4, 2009. View at Publisher · View at Google Scholar · View at Scopus
  46. C. Ahn and R. I. Nepomechie, “𝒩=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  47. N. Gromov and P. Vieira, “The all loop AdS4/CFT3 Bethe ansatz,” Journal of High Energy Physics, no. 1, 2009. View at Publisher · View at Google Scholar · View at Scopus
  48. G. Grignani, T. Harmark, and M. Orselli, “The SU(2)×SU(2) sector in the string dual of 𝒩=6 superconformal Chern-Simons theory,” Nuclear Physics B, vol. 810, no. 1-2, pp. 115–134, 2009. View at Publisher · View at Google Scholar · View at Scopus
  49. K. Hosomichi, K.-M. Lee, S. Lee, S. Lee, and J. Park, “𝒩=5, 6 superconformal Chern-Simons theories and M2-branes on orbifolds,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  50. N. Beisert, “The su(2|3) undynamic spin chain,” Progress of Theoretical Physics Supplement, no. 177, pp. 1–11, 2009. View at Publisher · View at Google Scholar · View at Scopus
  51. S. Terashima, “On M5-branes in 𝒩=6 membrane action,” Journal of High Energy Physics, no. 8, 2008. View at Publisher · View at Google Scholar · View at Scopus
  52. J. Gomis, D. Rodríguez-Gómez, M. Van Raamsdonk, and H. Verlinde, “A massive study of M2-brane proposals,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  53. K. Hanaki and H. Lin, “M2-M5 systems in 𝒩=6 Chern-Simons theory,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  54. T. Harmark, G. Grignani, M. Orselli, and G. W. Semenoff, “Finite size giant magnons in the string dual of 𝒩=6 superconformal Chern-Simons theory,” Journal of High Energy Physics, no. 12, 2008. View at Publisher · View at Google Scholar · View at Scopus
  55. C. Ahn and P. Bozhilov, “Finite-size effects for single spike,” Journal of High Energy Physics, no. 7, article 105, 2008. View at Publisher · View at Google Scholar · View at Scopus
  56. C. Ahn, P. Bozhilov, and R. C. Rashkov, “Neumann-Rosochatius integrable system for strings on AdS4×3,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  57. B. Chen and J.-B. Wu, “Semi-classical strings in AdS4×3,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  58. M. A. Bandres, A. E. Lipstein, and J. H. Schwarz, “Studies of the ABJM theory in a formulation with manifest SU(4) R-symmetry,” Journal of High Energy Physics, no. 9, 2008. View at Publisher · View at Google Scholar · View at Scopus
  59. M. Schnabl and Y. Tachikawa, “Classification of 𝒩=6 superconformal theories of ABJM type,” http://arxiv.org/abs/0807.1102.
  60. A. Hashimoto and P. Ouyang, “Supergravity dual of Chern-Simons Yang-Mills theory with 𝒩=6,8 superconformal IR fixed point,” Journal of High Energy Physics, no. 10, 2008. View at Publisher · View at Google Scholar · View at Scopus
  61. D. Astolfi, V. G. M. Puletti, G. Grignani, T. Harmark, and M. Orselli, “Finite-size corrections in the SU(2)×SU(2) sector of type IIA string theory on AdS4×3,” Nuclear Physics B, vol. 810, no. 1-2, pp. 150–173, 2009. View at Publisher · View at Google Scholar · View at Scopus
  62. A. Ghodsi, M. R. Garousi, and M. Khosravi, “On thermodynamics of 𝒩=6 superconformal Chern-Simons theories at strong coupling,” Journal of High Energy Physics, no. 8, 2008. View at Publisher · View at Google Scholar · View at Scopus
  63. G. Bonelli, P. A. Grassi, and H. Safaai, “Exploring pure spinor string theory on AdS4×3,” Journal of High Energy Physics, no. 10, 2008. View at Publisher · View at Google Scholar · View at Scopus
  64. R. D'Auria, P. Fré, P. A. Grassi, and M. Trigiante, “Superstrings on AdS4×3 from supergravity,” Physical Review D, vol. 79, no. 8, 2009. View at Publisher · View at Google Scholar · View at Scopus
  65. M. Kreuzer, R. C. Rashkov, and M. Schimpf, “Near-flat space limit of strings on AdS4×3,” The European Physical Journal C, vol. 60, no. 3, pp. 471–480, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  66. P. Sundin, “The AdS4×3 string and its Bethe equations in the near plane wave limit,” Journal of High Energy Physics, no. 2, article 046, pp. 1–24, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  67. J. A. Minahan, “Circular semiclassical string solutions on AdS5×S5,” Nuclear Physics B, vol. 648, no. 1-2, pp. 203–214, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  68. J. Engquist, J. A. Minahan, and K. Zarembo, “Yang-Mills duals for semiclassical strings on AdS5×S5,” Journal of High Energy Physics, vol. 7, no. 11, pp. 1455–1476, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  69. H. Dimov and R. C. Rashkov, “Generalized pulsating strings,” Journal of High Energy Physics, vol. 8, no. 5, pp. 1595–1609, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  70. M. Smedbäck, “Pulsating strings on AdS5×S5,” Journal of High Energy Physics, vol. 8, no. 7, pp. 61–72, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  71. C. N. Pope and N. P. Warner, “An SU(4) invariant compactification of d=11 supergravity on a stretched seven-sphere,” Physics Letters B, vol. 150, no. 5, pp. 352–356, 1985. View at Publisher · View at Google Scholar · View at MathSciNet