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AdS_3 Black Hole Entropy and the Spectral Flow on the Horizon

We consider the entropy problem of AdS_3 black holes using the conformal field theory at the horizon. We observe that the supersymmetry is enhanced at the horizon of massless AdS_3 black hole. This allows us to determine the vacuum of the modular invariant conformal field theory to be the NS-ground state (which corresponds to AdS_3 spacetime). This is smoothly related to the R-ground state (corresponding to massless black hole) by a spectral flow, which can be understood as a superconformal transformation.

preprint1999arXivOpen access
Jin-Ho ChoSoonkeon Nam
hep-th
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Jin-Ho ChoSoonkeon Nam

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