@MISC{Garousi902thern/cft, author = {Mohammad R. Garousi and Ahmad Ghodsi}, title = {The RN/CFT Correspondence}, year = {902} }

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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 nonextremal RN black hole splits into two spacetimes at the extremality: an extremal black hole and a disconnected AdS2 × 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 Qe to a five dimensional solution, we show that this solution is dual to a CFT with central charge c = 6Q 3 e. The Cardy formula then shows that the microscopic entropy of the CFT is the same as the macroscopic One of the most exciting observation in the modern theoretical physics is the holographic dualities that relates a quantum gravity to a quantum field theory without gravity in fewer dimensions [1, 2]. The best understood holographic duality is the duality between the