Integrability and the AdS(3)/CFT(2) correspondence

Article, Preprint English OPEN
Babichenko, A. ; Stefanski, B. ; Zarembo, K. (2009)
  • Publisher: Springer Nature
  • Journal: Journal of High Energy Physics
  • Related identifiers: doi: 10.1007/JHEP03(2010)058
  • Subject: QC | High Energy Physics - Theory | Nuclear and High Energy Physics
    arxiv: High Energy Physics::Theory

We investigate the AdS(3)/CFT(2) correspondence for theories with 16 supercharges using the integrability approach. We construct Green-Schwarz actions for Type IIB strings on AdS(3)xS(3)xM(4) where M(4)=T(4) or S(3)xS(1) using the coset approach. These actions are based on a Z(4) automorphism of the super-coset D(2,1;alpha)xD(2,1;alpha)/SO(1,2)xSO(3)xSO(3). The equations of motion admit a representation in terms of a Lax connection, showing that the system is classically integrable. We present the finite gap equations for these actions. When alpha=0,1/2,1 we propose a set of quantum Bethe equations valid at all values of the coupling. The AdS(3)/CFT(2) duals contain novel massless modes whose role remains to be explored.
  • References (43)
    43 references, page 1 of 5

    [1] A. Strominger and C. Vafa, “Microscopic Origin of the Bekenstein-Hawking Entropy”, Phys. Lett. B379, 99 (1996), hep-th/9601029.

    [2] J. M. Maldacena, “The large N limit of superconformal field theories and supergravity”, Adv. Theor. Math. Phys. 2, 231 (1998), hep-th/9711200.

    [3] A. Giveon, D. Kutasov and N. Seiberg, “Comments on string theory on AdS3”, Adv. Theor. Math. Phys. 2, 733 (1998), hep-th/9806194.

    [4] S. Elitzur, O. Feinerman, A. Giveon and D. Tsabar, “String theory on AdS3 × S3 × S3 × S1”, Phys. Lett. B449, 180 (1999), hep-th/9811245.

    [5] J. M. Maldacena and H. Ooguri, “Strings in AdS(3) and SL(2,R) WZW model. I”, J. Math. Phys. 42, 2929 (2001), hep-th/0001053. • J. M. Maldacena, H. Ooguri and J. Son, “Strings in AdS(3) and the SL(2,R) WZW model. II: Euclidean black hole”, J. Math. Phys. 42, 2961 (2001), hep-th/0005183. • J. M. Maldacena and H. Ooguri, “Strings in AdS(3) and the SL(2,R) WZW model. III: Correlation functions”, Phys. Rev. D65, 106006 (2002), hep-th/0111180.

    [6] N. Berkovits, C. Vafa and E. Witten, “Conformal field theory of AdS background with Ramond-Ramond flux”, JHEP 9903, 018 (1999), hep-th/9902098.

    [7] J. Rahmfeld and A. Rajaraman, “The GS string action on AdS3 × S3 with Ramond-Ramond charge”, Phys. Rev. D60, 064014 (1999), hep-th/9809164. • J. Park and S.-J. Rey, “Green-Schwarz superstring on AdS3 × S3”, JHEP 9901, 001 (1999), hep-th/9812062. • R. R. Metsaev and A. A. Tseytlin, “Superparticle and superstring in AdS3 × S3 Ramond-Ramond background in light-cone gauge”, J. Math. Phys. 42, 2987 (2001), hep-th/0011191.

    [8] B. Chen, Y.-L. He, P. Zhang and X.-C. Song, “Flat currents of the Green-Schwarz superstrings in AdS5 × S1 and AdS3 × S3 backgrounds”, Phys. Rev. D71, 086007 (2005), hep-th/0503089.

    [9] I. Adam, A. Dekel, L. Mazzucato and Y. Oz, “Integrability of type II superstrings on Ramond-Ramond backgrounds in various dimensions”, JHEP 0706, 085 (2007), hep-th/0702083.

    [10] J. R. David and B. Sahoo, “Giant magnons in the D1-D5 system”, JHEP 0807, 033 (2008), 0804.3267.

  • Metrics
    No metrics available
Share - Bookmark