AdS${}_2$/CFT${}_1$ correspondence and near-extremal black hole entropy

Abstract

We provide a realization of the AdS${}_2$/CFT${}_1$ correspondence in terms of asymptotic symmetries of the AdS${}_2\times$S${}^1$ and AdS${}_2\times$S${}^2$ geometries arising in near-extremal BTZ and Reissner-Nordström black holes. Cardy's formula exactly accounts for the deviation of the Bekenstein-Hawking entropy from extremality. We also argue that this result can be extended to more general black holes near extremality.

LaTex file, 19 pages

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