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

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arxiv hep-th/9910076 v1 pith:JOWLB5TF submitted 1999-10-08 hep-th

classification hep-th
keywords blackcorrespondenceentropyextremalityholesnear-extremaltimesaccounts
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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-Nordstr\"om 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.

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Cited by 1 Pith paper

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  1. Optical Characteristics of the Kerr-Bertotti-Robinson Black Hole

    gr-qc 2025-08 conditional novelty 6.0 of 10

    For the Kerr-Bertotti-Robinson black hole, the magnetic field mainly enlarges the shadow and Einstein ring while rotation mainly distorts the shadow shape, and current M87* and Sgr A* data give only weak bounds on the field.

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