The RN/CFT Correspondence

Mohammad R. Garousi; Ahmad Ghodsi

doi:10.1016/j.physletb.2010.03.002

paper

The RN/CFT Correspondence

arXiv:0902.4387 · doi:10.1016/j.physletb.2010.03.002

Abstract

Recently it has been shown in 0901.0931 [hep-th] that the approach to extremality for the non-extremal Reissner-Nordstrom black hole is not continuous. The non-extremal RN black hole splits into two spacetimes at the extremality: an extremal black hole and a disconnected $A d S_{2} \times S^{2}$ space which has been called the "compactification solution". As a possible resolution for understanding the entropy of extremal RN black hole, it has been speculated that the entropy of the non-extremal black hole may be carried by the latter solution. By uplifting the four dimensional "compactification solution" with electric charge $Q_{e}$ to a five dimensional solution, we show that this solution is dual to a CFT with central charge $c = 6 Q_{e}^{3}$ . The Cardy formula then shows that the microscopic entropy of the CFT is the same as the macroscopic entropy of the "compactification solution".

14 pages, latex; Version published in PLB.

The RN/CFT Correspondence

Abstract

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