Academia.eduAcademia.edu

Outline

String amplitudes in the Hpp-wave limit of AdS3 × S3

2004, Journal of High Energy Physics

https://doi.org/10.1088/1126-6708/2004/04/074

Abstract

We compute string amplitudes on pp-waves supported by NS-NS 3-form fluxes and arising in the Penrose limit of AdS3xS3xM. We clarify the role of the non-chiral accidental SU(2) symmetry of the background. We comment on the extension of our results to the superstring and propose a holographic formula in the BMN limit of the AdS3/CFT2 correspondence valid for any correlator.

References (82)

  1. G. D'Appollonio and E. Kiritsis, Nucl. Phys. B 674, 80 (2003) [arXiv:hep-th/0305081].
  2. O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Phys. Rept. 323, 183 (2000) [arXiv:hep-th/9905111].
  3. E. D'Hoker and D. Z. Freedman, [arXiv:hep-th/0201253].
  4. N. Berkovits, JHEP 0004, 018 (2000) [arXiv:hep-th/0001035].
  5. A. Giveon, D. Kutasov and N. Seiberg, Adv. Theor. Math. Phys. 2, 733 (1998) [arXiv:hep-th/9806194].
  6. D. Kutasov and N. Seiberg, JHEP 9904, 008 (1999) [arXiv:hep-th/9903219].
  7. J. de Boer, H. Ooguri, H. Robins and J. Tannenhauser, JHEP 9812, 026 (1998) [arXiv:hep-th/9812046].
  8. J. M. Maldacena and H. Ooguri, J. Math. Phys. 42, 2929 (2001) [arXiv:hep- th/0001053].
  9. J. M. Maldacena, H. Ooguri and J. Son, J. Math. Phys. 42, 2961 (2001) [arXiv:hep- th/0005183].
  10. J. M. Maldacena and H. Ooguri, Phys. Rev. D 65, 106006 (2002) [arXiv:hep- th/0111180].
  11. N. Seiberg and E. Witten, JHEP 9904, 017 (1999) [arXiv:hep-th/9903224].
  12. J. G. Russo and A. A. Tseytlin, JHEP 0204, 021 (2002) [arXiv:hep-th/0202179].
  13. D. Kutasov, F. Larsen and R. G. Leigh, Nucl. Phys. B 550, 183 (1999) [arXiv:hep- th/9812027].
  14. R. Argurio, A. Giveon and A. Shomer, JHEP 0012, 003 (2000) [arXiv:hep- th/0009242].
  15. N. Berkovits, C. Vafa and E. Witten, JHEP 9903, 018 (1999) [arXiv:hep- th/9902098].
  16. K. Bobkov and L. Dolan, Phys. Lett. B 537, 155 (2002) [arXiv:hep-th/0201027].
  17. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998) [Int. J. Theor. Phys. 38, 1113 (1999)] [arXiv:hep-th/9711200].
  18. M. Blau, J. Figueroa-O'Farrill, C. Hull and G. Papadopoulos, JHEP 0201, 047 (2002) [arXiv:hep-th/0110242];
  19. Class. Quant. Grav. 19, L87 (2002) [arXiv:hep-th/0201081].
  20. R. R. Metsaev and A. A. Tseytlin, Phys. Rev. D 65, 126004 (2002) [arXiv:hep- th/0202109].
  21. A. A. Kehagias and P. A. A. Meessen, Phys. Lett. B 331, 77 (1994) [arXiv:hep- th/9403041].
  22. D. Berenstein, J. M. Maldacena and H. Nastase, JHEP 0204, 013 (2002) [arXiv:hep- th/0202021].
  23. J. C. Plefka, [arXiv:hep-th/0307101];
  24. M. Spradlin and A. Volovich, [arXiv:hep- th/0310033];
  25. R. Russo and A. Tanzini, [arXiv:hep-th/0401155].
  26. C. R. Nappi and E. Witten, Phys. Rev. Lett. 71, 3751 (1993) [arXiv:hep-th/9310112].
  27. E. Kiritsis and C. Kounnas, Phys. Lett. B 320, 264 (1994) [Addendum-ibid. B 325, 536 (1994)] [arXiv:hep-th/9310202].
  28. E. Kiritsis, C. Kounnas and D. Lust, supersymmetry," Phys. Lett. B 331, 321 (1994) [arXiv:hep-th/9404114].
  29. K. Sfetsos, Phys. Lett. B 324, 335 (1994) [arXiv:hep-th/9311010].
  30. D. I. Olive, E. Rabinovici and A. Schwimmer, Phys. Lett. B 321, 361 (1994) [arXiv:hep-th/9311081].
  31. Y. Hikida, [arXiv:hep-th/0303222].
  32. Y. K. Cheung, L. Freidel and K. Savvidy, [arXiv:hep-th/0309005].
  33. V. S. Dotsenko, Nucl. Phys. B 358, 547 (1991).
  34. G. Giribet and C. Núñez, JHEP 0106, 010 (2001) [arXiv:hep-th/0105200].
  35. K. Hosomichi, K. Okuyama and Y. Satoh, Nucl. Phys. B 598, 451 (2001) [arXiv:hep- th/0009107].
  36. J. Son, [arXiv:hep-th/0312017].
  37. O. Zapata, [arXiv:hep-th/0312316].
  38. M. Bianchi, G. D'Appollonio, E. Kiritsis and O. Zapata, work in progress.
  39. A. B. Zamolodchikov and V. A. Fateev, Sov. J. Nucl. Phys. 43 (1986) 657 [Yad. Fiz. 43 (1986) 1031].
  40. J. Teschner, Nucl. Phys. B 546, 390 (1999) [arXiv:hep-th/9712256].
  41. N. Beisert, M. Bianchi, J. F. Morales and H. Samtleben, [arXiv:hep-th/0310292].
  42. M. Bianchi, J. F. Morales and H. Samtleben, JHEP 0307, 062 (2003) [arXiv:hep- th/0305052].
  43. E. Kiritsis and B. Pioline, JHEP 0208, 048 (2002) [arXiv:hep-th/0204004].
  44. D. Berenstein and H. Nastase, [arXiv:hep-th/0205048].
  45. S. R. Das, C. Gomez and S. J. Rey, Phys. Rev. D 66, 046002 (2002) [arXiv:hep- th/0203164].
  46. R. G. Leigh, K. Okuyama and M. Rozali, Phys. Rev. D 66, 046004 (2002) [arXiv:hep- th/0204026].
  47. J. Gomis, L. Motl and A. Strominger, JHEP 0211, 016 (2002) [arXiv:hep- th/0206166].
  48. E. Gava and K. S. Narain, JHEP 0212, 023 (2002) [arXiv:hep-th/0208081].
  49. H. Dorn, M. Salizzoni and C. Sieg, [arXiv:hep-th/0307229].
  50. H. Dorn and C. Sieg, JHEP 0304, 030 (2003) [arXiv:hep-th/0302153].
  51. J. M. Maldacena and A. Strominger, JHEP 9812, 005 (1998) [arXiv:hep-th/9804085].
  52. D. Friedan, E. J. Martinec and S. H. Shenker, Nucl. Phys. B 271, 93 (1986).
  53. S. F. Hassan, R. R. Nayak and K. L. Panigrahi, [arXiv:hep-th/0312224].
  54. O. Lunin and S. D. Mathur, Nucl. Phys. B 642, 91 (2002) [arXiv:hep-th/0206107].
  55. N. Berkovits, JHEP 0204, 037 (2002) [arXiv:hep-th/0203248].
  56. L. J. Dixon, D. Friedan, E. J. Martinec and S. H. Shenker, Nucl. Phys. B 282, 13 (1987).
  57. V. G. Knizhnik and A. B. Zamolodchikov, Nucl. Phys. B 247, 83 (1984).
  58. V. S. Dotsenko and V. A. Fateev, Nucl. Phys. B 240, 312 (1984);
  59. Nucl. Phys. B 251, 691 (1985).
  60. G. Arutyunov and E. Sokatchev, JHEP 0208, 014 (2002) [arXiv:hep-th/0205270].
  61. D. Israel, C. Kounnas and M. P. Petropoulos, JHEP 0310, 028 (2003) [arXiv:hep- th/0306053].
  62. J. de Boer, Nucl. Phys. B 548, 139 (1999) [arXiv:hep-th/9806104].
  63. S. Deger, A. Kaya, E. Sezgin and P. Sundell, Nucl. Phys. B 536, 110 (1998) [arXiv:hep-th/9804166].
  64. J. Gomis and H. Ooguri, Nucl. Phys. B 635 (2002) 106 [arXiv:hep-th/0202157].
  65. H. Kawai, D. C. Lewellen and S. H. H. Tye, Nucl. Phys. B 269 (1986) 1.
  66. D. Z. Freedman and U. Gursoy, JHEP 0308 (2003) 027 [arXiv:hep-th/0305016];
  67. N. Beisert, C. Kristjansen, J. Plefka and M. Staudacher, Phys. Lett. B 558 (2003) 229 [arXiv:hep-th/0212269].
  68. N. Beisert, Nucl. Phys. B 659 (2003) 79 [arXiv:hep-th/0211032].
  69. C. Kristjansen, J. Plefka, G. W. Semenoff and M. Staudacher, Nucl. Phys. B 643 (2002) 3 [arXiv:hep-th/0205033];
  70. N. R. Constable, D. Z. Freedman, M. Headrick, S. Minwalla, L. Motl, A. Postnikov and W. Skiba, JHEP 0207 (2002) 017 [arXiv:hep- th/0205089];
  71. M. Bianchi, B. Eden, G. Rossi and Y. S. Stanev, Nucl. Phys. B 646 (2002) 69 [arXiv:hep-th/0205321];
  72. G. Arutyunov, S. Penati, A. C. Petkou, A. San- tambrogio and E. Sokatchev, Nucl. Phys. B 643 (2002) 49 [arXiv:hep-th/0206020];
  73. N. Beisert, C. Kristjansen, J. Plefka, G. W. Semenoff and M. Staudacher, Nucl. Phys. B 650 (2003) 125 [arXiv:hep-th/0208178];
  74. N. R. Constable, D. Z. Freedman, M. Headrick and S. Minwalla, JHEP 0210 (2002) 068 [arXiv:hep-th/0209002].
  75. H. Dorn and H. J. Otto, Nucl. Phys. B 429, 375 (1994) [arXiv:hep-th/9403141].
  76. A. B. Zamolodchikov and A. B. Zamolodchikov, Nucl. Phys. B 477, 577 (1996) [arXiv:hep-th/9506136].
  77. M. Wakimoto, Commun. Math. Phys. 104, 605 (1986).
  78. B. Sundborg, Nucl. Phys. Proc. Suppl. 102, 113 (2001) [arXiv:hep-th/0103247].
  79. E. Witten, Lecture given at JHS/60, Caltech, Nov. 3-4 2001.
  80. E. Sezgin and P. Sundell, Nucl. Phys. B 644, 303 (2002) [Erratum-ibid. B 660, 403 (2003)] [arXiv:hep-th/0205131].
  81. G. Arutyunov, S. Frolov and A. Petkou, Nucl. Phys. B 602, 238 (2001) [Erratum-ibid. B 609, 540 (2001)] [arXiv:hep-th/0010137].
  82. G. Arutyunov, S. Frolov and A. C. Petkou, Nucl. Phys. B 586, 547 (2000) [Erratum- ibid. B 609, 539 (2001)] [arXiv:hep-th/0005182].