A Note on Kerr/CFT and Wald Entropy Discrepancy in High Derivative Gravities

TL;DR

This paper investigates the Kerr/CFT correspondence in higher derivative gravities, specifically quadratic curvature extensions of Einstein gravity, revealing discrepancies between Cardy and Wald entropies due to Riemann-squared terms.

Contribution

It extends the Kerr/CFT analysis to quadratic curvature theories and highlights the entropy discrepancy caused by Riemann-squared invariants.

Findings

Cardy entropy differs from Wald entropy in these theories

Discrepancy attributed to Riemann-squared term

Analysis performed in 4D and 5D examples

Abstract

We examine the Kerr/CFT correspondence in Einstein gravity extended with quadratic curvature invariants. We consider two explicit examples in four and five dimensions and compute the central charges of the asymptotic symmetry algebras of the near horizon geometries, using the improved version of the BBC formalism that encompasses the information of the Lagrangian. We find that the resulting Cardy entropy differs from the Wald entropy, caused by the Riemann-squared $R^{\mu\nu\rho\sigma}R_{\mu\nu\rho\sigma}$ term.