Hidden conformal symmetry and holography for accelerating Kerr–Newman black holes
Year: 2025
Type: article
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 S L ( 2 , R ) L × S L ( 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 (CFT 2 ). 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 CFT 2 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.
Source: Nuclear Physics B
Author: Haryanto M. Siahaan
Institution: Parahyangan Catholic University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Award: G3982470835
OpenAlex ID: W4413682468