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Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes · Around

2010

Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes

Chen, Chiang-Mei, Huang, Ying-Ming, Zou, Shou-Jyun

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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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