CFT Duals for Extreme Black Holes

By Thomas Hartman, Keiju Murata, T. Nishioka, Andrew Strominger. 2008

274 citations recorded by the source corpus.

It is argued that the general four-dimensional extremal Kerr-Newman-AdS-dS black hole is holographically dual to a (chiral half of a) two-dimensional CFT, generalizing an argument given recently for the special case of extremal Kerr. Specifically, the asymptotic symmetries of the near-horizon region of the general extremal black hole are shown to be generated by a Virasoro algebra. Semiclassical formulae are derived for the central charge and temperature of the dual CFT as functions of the cosmological constant, Newton's constant and the black hole charges and spin. We then show, assuming the Cardy formula, that the microscopic entropy of the dual CFT precisely reproduces the macroscopic Bekenstein-Hawking area law. This CFT description becomes singular in the extreme Reissner-Nordstrom limit where the black hole has no spin. At this point a second dual CFT description is proposed in which the global part of the U(1) gauge symmetry is promoted to a Virasoro algebra. This second description is also found to reproduce the area law. Various further generalizations including higher dimensions are discussed.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a6bfe70e543c3bb73960cc3c728fd7172a3ded3a

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Citations in the corpus

Extremal Black Hole/CFT Correspondence in (Guaged) Supergravities (2008, methodology): “It was argued in [ 13 ] from the general structure of four-dimensional extremal rotating black”
Holographic derivation of Kerr-Newman scattering amplitudes for general charge and spin (2009, result): “Following [13, 10], we define new coordinates r̂ = r+ + λr0r , t̂ = tr0/λ , φ̂ = φ+ ΩH tr0 λ , (2.”
No dynamics in the extremal Kerr throat (2009, result): “The near-horizon limit of extreme Kerr-Newman for general angular momentum J and charge Q was analyzed in [2, 48] where it was found that the asymptotic structure is very similar to that of (2.”
Symmetries and Strings in Field Theory and Gravity (2010, background): “[1-3] and in particular [4] and the earlier reference [5]).”
Black hole superradiance from Kerr/CFT (2009, background): “The analysis was subsequently generalized to a large variety of extreme black holes with perfect agreement in every case [3–20].”