A note on the hidden conformal structure of non-extremal black holes

TL;DR

This paper investigates the hidden conformal symmetry in the wave equation near non-extremal black holes, revealing an SL(2,R) symmetry at horizons, which enhances understanding of black hole holography.

Contribution

It extends the analysis of hidden conformal symmetry to general charged, spherically symmetric black holes in higher dimensions, including those in supergravity theories.

Findings

Hidden SL(2,R) symmetry appears near horizons.

Conformal structure is present in the Klein-Gordon equation.

Results apply to a broad class of black hole solutions.

Abstract

We study, following Bertini et al. \cite{Bertini:2011ga}, the hidden conformal symmetry of the massless Klein-Gordon equation in the background of the general, charged, spherically symmetric, static black-hole solution of a class of d-dimensional Lagrangians which includes the relevant parts of the bosonic Lagrangian of any ungauged supergravity. We find that a hidden SL(2,\mathbb{R}) symmetry appears at the near event and Cauchy-horizon limit.