Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes

Abstract

We consider the ${\mathrm{AdS}}_3/{\mathrm{CFT}}_2$ description of Reissner-Nordstrøm 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.

arXiv commentreference added, improper statements corrected, 17 pages, no figures

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• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Novel CFT Duals for Extreme Black Holes
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• Black Hole Vacua and Rotation
• RN/CFT Correspondence From Thermodynamics
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• Magnetized Reissner-Nordstrom-Taub-NUT spacetime and microscopic entropy
• Pair Production of Scalar Dyons in Kerr-Newman Black Holes
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• Nonextremal Kerr/CFT on a stretched horizon
• Central charge
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• Extremal RN/CFT in Both Hands Revisited
• Hawking radiation from nonrotating singularity-free black holes in conformal gravity