Hidden conformal symmetry of the Reissner-Nordström black holes

Abstract

Motivated by recent progresses in the holographic descriptions of the Kerr and Reissner-Nordström (RN) black holes, we explore the hidden conformal symmetry of the 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 conformal symmetry is broken by the periodicity of the associated angle coordinate in the background geometry. Nevertheless, the probe massless scalar field somehow can reveal 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 the CFT and gravity sides.