Higher-Derivative Corrections to the Asymptotic Virasoro Symmetry of 4d Extremal Black Holes

TL;DR

This paper investigates how higher-derivative corrections affect the asymptotic Virasoro symmetry near extremal black holes, confirming the central charge's role in reproducing black hole entropy via the Kerr/CFT correspondence.

Contribution

It extends the Kerr/CFT framework to include higher-derivative gravity corrections, ensuring the central charge matches the Iyer-Wald entropy formula.

Findings

Central charge reproduces the Iyer-Wald entropy.

Boundary terms are crucial for correct symplectic structure.

Virasoro symmetry persists with higher-derivative corrections.

Abstract

We study the asymptotic Virasoro symmetry which acts on the near-horizon region of extremal four-dimensional black hole solutions of gravity theories with higher-derivative corrections, following the recently proposed Kerr/CFT correspondence. We demonstrate that its central charge correctly reproduces the entropy formula of Iyer-Wald, once the boundary terms in the symplectic structure are carefully chosen.