Kerr-AdS/CFT Correspondence in Diverse Dimensions

Details Kerr-AdS/CFT Correspondence in Diverse Dimensions Kerr-AdS/CFT Correspondence in Diverse Dimensions

2008-11-14

arxiv.org/abs/0811.2225v3

JHEP 0904:054,2009

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 19 pages, typos corrected and references added

Scientific paper

10.1088/1126-6708/2009/04/054

It was proposed recently that the near-horizon states of an extremal four-dimensional Kerr black hole could be identified with a certain chiral conformal field theory whose Virasoro algebra arises as an asymptotic symmetry algebra of the near-horizon Kerr geometry. Supportive evidence for the proposed duality came from the equality of the microscopic entropy of the CFT, calculated by means of the Cardy formula, and the Bekenstein-Hawking entropy of the extremal Kerr black hole. In this paper we examine the proposed Kerr/CFT correspondence in a broader context. In particular, we show that the microscopic entropy and the Bekenstein-Hawking entropy agree also for the extremal Kerr-AdS metric in four dimensions, and also for the extremal Kerr-AdS metrics in dimensions 5, 6 and 7. General formulae for all higher dimensions are also presented.

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