Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes - INSPIRE

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Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes

Jan, 2010

17 pages

Published in:

JHEP 03 (2010) 123

e-Print:

1001.2833 [hep-th]

DOI:

10.1007/JHEP03(2010)123

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Abstract: (arXiv)

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.

AdS-CFT Correspondence
Black Holes
field theory: scalar
black hole: Reissner-Nordstroem
cross section: absorption
horizon: geometry
dimension: 5
duality: holography
AdS/CFT correspondence
scattering amplitude

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