Hidden conformal symmetry and holography for accelerating Kerr–Newman black holes

Abstract

We investigate the emergence of hidden conformal symmetry in the scalar wave equation for the accelerating Kerr–Newman black hole with arbitrary acceleration. By applying a near-horizon, low-frequency approximation, we reduce the quartic radial function to an effective quadratic form that reveals an underlying $SL{(2,R)}_L\times SL{(2,R)}_R$ symmetry in the radial equation. This allows us to identify left- and right-moving temperatures and match the wave operator to the Casimir of a two-dimensional conformal field theory (CFT₂). We compute the central charges from the near-horizon geometry of a near-extremal black hole and verify that the Cardy formula reproduces the Bekenstein–Hawking entropy. As further support for the Kerr/CFT correspondence in accelerating backgrounds, we analyze scalar field scattering and show that the absorption cross section agrees with the finite-temperature prediction from dual CFT₂ correlators. Our results provide both thermodynamic and dynamical evidence that the near-horizon region of the accelerating Kerr–Newman black hole admits a consistent holographic description by using the Kerr/CFT correspondence.