Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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reference added, improper statements corrected, 17 pages, no figures

Scientific paper

10.1007/JHEP03(2010)123

We consider the $\mathrm{AdS}_3/\mathrm{CFT}_2$ description of Reissner-Nordstr{\o}m 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 $\mathrm{AdS}_3 \times \mathrm{S}^2$. 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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