Hidden Conformal Symmetries of Five-Dimensional Black Holes

Abstract

Recently it was shown by Castro, Maloney and Strominger (CMS) that 4D Kerr black holes have a "hidden" conformal symmetry. Using some old results of Cvetic and Larsen, I show that this result is very likely to hold also for the most general black holes in five dimensions arising from heterotic/type II string theory. In particular, we show how the wave equation in these geometries in the "near region" can be written in terms of SL(2,R) X SL(2,R) Casimirs. For the special case when the black hole has two spins but no U(1) charges, detailed matches for entropy and absorption cross sections between CFT and geometry are found. The black holes we consider need not be close to extremality.

12 pages; preprint no. and refs added, typos fixed

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Cited by in corpus (48)

• Thermodynamics of Black Hole Horizons and Kerr/CFT Correspondence
• Hidden Conformal Symmetry of the Kerr-Newman Black Hole
• Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole
• Conformal Symmetry for General Black Holes
• Black Hole Monodromy and Conformal Field Theory
• On Holographic description of the Kerr-Newman-AdS-dS black holes
• On Holographic Dual of the Dyonic Reissner-Nordström Black Hole
• Hidden Conformal Symmetry of the Reissner-Nordstrøm Black Holes
• Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes
• Note on Thermodynamics Method of Black Hole/CFT Correspondence
• Hidden Conformal Symmetry of Extremal Black Holes
• Love Numbers for Rotating Black Holes in Higher Dimensions
• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Hidden Conformal Symmetry and Quasi-normal Modes
• Magnetized Kerr/CFT Correspondence
• Holographic Q-picture of Kerr-Newman-AdS-dS Black Hole
• Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
• Holographic description of Kerr-Bolt-AdS-dS Spacetimes
• Hidden Conformal Symmetry of Rotating Black Hole with four Charges
• Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity
• 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
• Generalized hidden Kerr/CFT
• New Near Horizon Limit in Kerr/CFT
• Electromagnetic Duality in Dyonic RN/CFT Correspondence
• Correlation Functions and Hidden Conformal Symmetry of Kerr Black Holes
• RN/CFT Correspondence From Thermodynamics
• Hidden Conformal Symmetry of Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
• General Hidden Conformal Symmetry of 4D Kerr-Newman and 5D Kerr Black Holes
• Conformal Invariance and Near-extreme Rotating AdS Black Holes
• Central Charges for AdS Black Holes
• Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions
• Holographic description of three dimensional Godel black hole
• Love symmetry in higher-dimensional rotating black hole spacetimes
• Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory
• Degenerate Rotating Black Holes, Chiral CFTs and Fermi Surfaces I - Analytic Results for Quasinormal Modes
• A new look at hidden conformal symmetries of black holes
• Subttractors
• Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
• Vector Fields in Kerr/CFT Correspondence
• A Kaluza-Klein Subttractor
• CFT Duals for Black Rings and Black Strings
• Thermodynamics of two-dimensional conformal field theory dual to black holes
• Correspondence between the contracted BTZ solution of cosmological topological massive gravity and two-dimensional Galilean conformal algebra
• Emergent Symmetry on Black Hole Horizons
• Quasinormal frequencies of a massless scalar in the hidden Kerr/CFT proposal
• Investigation of hidden symmetry in $Ad{S}_5$ black hole with Heun equation