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

TL;DR

This paper demonstrates the AdS$_2$/CFT$_1$ correspondence in near-extremal black holes, showing that asymptotic symmetries account for entropy deviations from extremality, with implications for broader classes of black holes.

Contribution

It provides a concrete realization of AdS$_2$/CFT$_1$ in near-extremal black holes and connects asymptotic symmetries with entropy calculations.

Findings

Cardy's formula matches entropy deviations from extremality.

Asymptotic symmetries explain near-extremal entropy.

Results suggest extension to more general black holes.

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.