Exact S-matrices for AdS3/CFT2

Changrim Ahn, Diego Bombardelli

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34 Scopus citations


We propose exact S-matrices for the AdS3/CFT2 duality between type IIB strings on AdS3×S3×M 4 with M4 = S3×S1 or T 4 and the corresponding two-dimensional conformal field theories. We fix the two-particle S-matrices on the basis of the symmetries su(1|1) and su(1|1)×su(1|1). A crucial justification comes from the derivation of the all-loop Bethe ansatz matching exactly the recent conjecture proposed by Babichenko et al. [J. High Energy Phys. 1003, 058 (2010), arXiv:0912.1723 [hep-th]] and Ohlsson Sax and Stefanski, Jr. [J. High Energy Phys. 1108, 029 (2011), arXiv:1106.2558 [hep-th]].

Original languageEnglish
Article number1350168
JournalInternational Journal of Modern Physics A
Issue number32
StatePublished - 30 Dec 2013

Bibliographical note

Funding Information:
We would like to thank K. Zarembo for useful comments. C. Ahn thanks the Centro de Física do Porto (CFP) at the University of Porto for the warm hospitality. D. Bombardelli is grateful to D. Fioravanti, S. Piscaglia and M. Rossi for useful discussions and collaboration on related topics. This work was supported in part by the WCU Grant No. R32-2008-000-101300 and the Research fund No. 1-2008-2935-001-2 by Ewha Womans University (C. Ahn) and the FCT fellowship SFRH/BPD/69813/2010 (D. Bombardelli). CFP is partially funded by FCT through the projects PTDC/FIS/099293/2008 and CERN/FP/116358/2010.


  • AdS/CFT
  • Bethe ansatz
  • S-matrices


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