Hidden Conformal Symmetry of the Reissner-Nordstr{\o}m Black Holes

TL;DR

This paper investigates the hidden conformal symmetry of nonextremal Reissner-Nordström black holes in five dimensions, providing evidence for a dual conformal field theory description through entropy and absorption cross section matching.

Contribution

It reveals the hidden conformal symmetry in nonextremal 5D RN black holes and supports the dual CFT interpretation by matching physical quantities.

Findings

Hidden conformal symmetry identified in 5D RN black holes

Entropy and absorption cross sections match between gravity and CFT

Supports dual CFT description of nonextremal RN black holes

Abstract

Motivated by recent progresses in the holographic descriptions of the Kerr and Reissner-Nordstr{\o}m (RN) black holes, we explore the hidden conformal symmetry of nonextremal uplifted 5D RN black hole by studying the near horizon wave equation of a massless scalar field propagating in this background. Similar to the Kerr black hole case, this hidden symmetry is broken by the periodicity of the associated angle coordinate in the background geometry, but the results somehow testify the dual CFT description of the nonextremal RN black holes. The duality is further supported by matching of the entropies and absorption cross sections calculated from both CFT and gravity sides.