CFT duals of Kerr-Taub-NUT and beyond

2022/05/18 by Malcolm J. Perry, M. Jimena Rodríguez, Perry, Malcolm J. +1 · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2205.09146

openalex publication_date 2022/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The duality relating the four-dimensional Kerr-Taub-NUT black hole to a thermal two-dimensional CFT with central charges c_L=c_R=12 J₀ is analyzed in detail, generalizing an argument given recently for Kerr within the soft-hair approach. The hidden conformal symmetry is realized in the form of Vir_L × Vir_R diffeomorphisms which act non-trivially on the black hole horizon. Semiclassical formulae are derived for the temperature and central charges of the dual CFT. Assuming the applicability of the Cardy formula, these CFT quantities precisely reproduce the macroscopic Bekenstein-Hawking area law. Various further generalizations including the complete family of black holes in four dimensions are discussed.

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• Two-Horizon Sector Thermodynamics as a Diagnostic for the Bi-Hair Organization of NUT Charge
• Monodromy, Hidden Conformal Symmetry and Soft Hair in Kerr-MOG Black Hole
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS₄ Black Holes

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