Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes
Abstract
We consider the AdS3/CFT2 description of Reissner-Nordstrm black holes by studying their uplifted counterparts in five dimensions. Assuming a natural size of the extra dimension, the near horizon geometries for the extremal limit are exactly AdS3 × S2. We compute the scattering amplitude of a scalar field, with a mode near threshold of frequency and extra dimensional momentum, by a near extremal uplifted black hole. The absorption cross section agrees with the two point function of the CFT dual to the scalar field.
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