Hidden conformal symmetries of five-dimensional black holes

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Abstract

Recently it was shown by Castro, Maloney and Strominger (CMS) that 4D Kerr black holes have a “hidden” conformal symmetry. Using some old results of Cvetic and Larsen, I show that this result is very likely to hold also for the most general black holesin five dimensions arising from heterotic/type II string theory. In particular, we show how the wave equation in these geometries in the “near region” can be written in terms of \( {\text{SL}}\left( {2,\mathbb{R}} \right) \times {\text{SL}}\left( {2,\mathbb{R}} \right) \) Casimirs. For the special case when the black hole has two sp ins but no U(1) charges, detailed matches for entropy and absorption cross sections between CFT and geometry are found. The black holes we consider need not be close to extremality.

Keywords

Black Holes in String Theory AdS-CFT Correspondence Space-Time Symmetries 
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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  1. 1.SISSATriesteItaly

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