Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole

Abstract

In this paper, we suggest that there are two different individual 2D CFTs holographically dual to the Kerr-Newman black hole, coming from the corresponding two possible limits --- the Kerr/CFT and Reissner-Nordström/CFT correspondences, namely there exist the Kerr-Newman/CFTs dualities. A probe scalar field at low frequencies turns out can exhibit two different 2D conformal symmetries (named by $J$- and $Q$-pictures, respectively) in its equation of motion when the associated parameters are suitably specified. These twofold dualities are supported by the matchings of entropies, absorption cross sections and real time correlators computed from both the gravity and the CFT sides. Our results lead to a fascinating "microscopic no hair conjecture" --- for each macroscopic hair parameter, in additional to the mass of a black hole in the Einstein-Maxwell theory, there should exist an associated holographic CFT${}_2$ description.

21 pages, 1 figure, typos corrected

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• On Holographic Dual of the Dyonic Reissner-Nordström Black Hole
• Note on Thermodynamics Method of Black Hole/CFT Correspondence
• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry and Quasi-normal Modes
• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
• Hidden Conformal Symmetry of Self-Dual Warped AdS_3 Black Holes in Topological Massive Gravity
• Hidden Conformal Symmetry of Rotating Black Hole with four Charges
• Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity
• Pair Production in Near Extremal Kerr-Newman Black Holes
• Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
• Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole
• Zeta(n) via hyperbolic functions
• New Near Horizon Limit in Kerr/CFT
• Hidden Conformal Symmetry of Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• Kerr-Newman Black Hole Entropy and Soft Hair
• Holographic description of three dimensional Godel black hole
• Photon emission of extremal Kerr-Newman black holes
• Holographic Q-Picture of Black Holes in Five Dimensional Minimal Supergravity
• Thermodynamics of two-dimensional conformal field theory dual to black holes
• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity