Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities

Abstract

A recently proposed holographic duality allows the Bekenstein-Hawking entropy of extremal rotating black holes to be calculated microscopically, by applying the Cardy formula to the two-dimensional chiral CFTs associated with certain reparameterisations of azimuthal angular coordinates in the solutions. The central charges are proportional to the angular momenta of the black hole, and so the method degenerates in the case of static (non-rotating) black holes. We show that the method can be extended to encompass such charged static extremal AdS black holes by using consistent Kaluza-Klein sphere reduction ansatze to lift them to exact solutions in the low-energy limits of string theory or M-theory, where the electric charges become reinterpreted as angular momenta associated with internal rotations in the reduction sphere. We illustrate the procedure for the examples of extremal charged static AdS black holes in four, five, six and seven dimensions.

16 pages

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• Extremal vacuum black holes in higher dimensions
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Cited by in corpus (6)

• Kerr-CFT and gravitational perturbations
• Central Charges in Extreme Black Hole/CFT Correspondence
• Extremal Isolated Horizon/CFT Correspondence
• Holographic RG flow dual to attractor flow in extremal black holes
• Conformal Symmetry for Rotating D-branes
• Holographic descriptions of (near-)extremal black holes in five dimensional minimal supergravity