Extremal static AdS black hole/CFT correspondence in gauged supergravities

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 ill the case of static (non-rotating) black holes. We show that the method call 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 ill the reduction sphere. We illustrate the procedure for the examples of extremal charged static Ads black holes ill four, five, six and seven dimensions. (C) 2009 Elsevier B.V. All rights reserved.