Ads(3)/CFT(2) to Ads(2)/CFT(1)

Details Ads(3)/CFT(2) to Ads(2)/CFT(1) Ads(3)/CFT(2) to Ads(2)/CFT(1)

2008-06-02

arxiv.org/abs/0806.0053v4

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 14 pages; v2: references added; v3: comments and refernces added; v4: expanded discussion on the role of cut-off

Scientific paper

10.1088/1126-6708/2009/04/034

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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