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Deformed hidden conformal symmetry for rotating black holes

2014/04/22 by A. M. Ghezelbash, Haryanto M. Siahaan, H. M. Siahaan
Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Geometry #Mathematical physics #Physics #Quantum mechanics #Rotating black hole #Theoretical physics #hep-th

paper · pdf · doi:10.1007/s10714-014-1783-2

published as Gen. Rel. Grav. (2014) 46:1783 · 19 pages

arxiv created 2014/04/22 · openalex publication_date 2014/08/21 · arxiv updated 2017/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The generic non-extremal Kerr-Newman black holes are holographically dual to hidden conformal field theories in two different pictures. The two pictures can be merged together to the CFT duals in general picture that are generated by SL(2,ℤ) modular group. We find some extensions of the conformal symmetry generators that yield an extended local family of SL(2,ℝ)L × SL(2,ℝ)R hidden conformal symmetries for the Kerr-Newman black holes parameterized by one deformation parameter. The family of deformed hidden conformal symmetry for Kerr-Newman black holes also provides a set of deformed hidden conformal generators for the charged Reissner-Nordstrom black holes. The set of deformed hidden conformal generators reduce to the hidden SL(2,ℝ) conformal generators for the Reissner-Nordstrom black hole for specific value of deformation parameter. We also find agreement between the macroscopic and microscopic entropy and absorption cross section of scalars for the Kerr-Newman black hole by considering the appropriate temperatures and central charges for the deformed CFTs.

Citations