AdS3/CFT2 to AdS2/CFT1

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Published 7 April 2009 Published under licence by IOP Publishing Ltd
, , Citation Rajesh Kumar Gupta and Ashoke Sen JHEP04(2009)034 DOI 10.1088/1126-6708/2009/04/034

1126-6708/2009/04/034

Abstract

It has been suggested that the quantum generalization of the Wald entropy for an extremal black hole is the logarithm of the ground state degeneracy of a dual quantum mechanics in a fixed charge sector. We test this proposal for supersymmetric extremal BTZ black holes for which there is an independent definition of the quantum entropy as the logarithm of the degeneracy of appropriate states in the dual 1+1 dimensional superconformal field theory. We find that the two proposals agree. This analysis also suggests a possible route to deriving the OSV conjecture.

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10.1088/1126-6708/2009/04/034