Kerr/CFT Correspondence in Diverse Dimensions

Nov, 2008
19 pages
Published in:
  • JHEP 04 (2009) 054
e-Print:
Report number:
  • MIFP-08-29

Citations per year

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Abstract: (arXiv)
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.
  • field theory: conformal
  • black hole: Kerr
  • algebra: Virasoro
  • entropy
  • higher-dimensional
  • space-time: anti-de Sitter
  • duality
  • AdS/CFT correspondence