Published by IOP Publishing for SISSA Received: August 10, 2009 Accepted: September 20, 2009 Published: October 20, 2009 3 Asymptotic symmetries of string theory on AdS3 × S JHEP10(2009)051 with Ramond-Ramond fluxes Sujay K. Ashok,a,b Raphael Benichouc and Jan Troostc aInstitute of Mathematical Sciences, C.I.T Campus, Taramani, Chennai, 600113 India bPerimeter Institute for Theoretical Physics, Waterloo, Ontario, ON N2L2Y5, Canada cLaboratoire de Physique Th´eorique, Unit´eMixte du CRNS et de l’Ecole´ Normale Sup´erieure associ´ee `al’Universit´ePierre et Marie Curie 6, UMR 8549, 24 Rue Lhomond, Paris 75005, France E-mail:
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[email protected] Abstract: String theory on AdS3 space-times with boundary conditions that allow for black hole states has global asymptotic symmetries which include an infinite dimensional conformal algebra. Using the conformal current algebra for sigma-models on P SU(1, 1 2), | we explicitly construct the R-symmetry and Virasoro charges in the worldsheet theory describing string theory on AdS S3 with Ramond-Ramond fluxes. We also indicate how 3 × to construct the full boundary superconformal algebra. The boundary superconformal algebra plays an important role in classifying the full spectrum of string theory on AdS3 with Ramond-Ramond fluxes, and in the microscopic entropy counting in D1-D5 systems. Keywords: AdS-CFT Correspondence, Conformal Field Models in String Theory ArXiv ePrint: 0907.1242 c SISSA 2009 doi:10.1088/1126-6708/2009/10/051 Contents 1 Introduction 1 3