2008/11/30 by H. Lü, H. Lu, Jianwei Mei +2 · 6 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebra representation #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Duality (order theory) #Entropy (arrow of time) #Geometry #Horizon #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Rotating black hole #Theoretical physics #Virasoro algebra #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/04/054
published as JHEP 0904:054,2009 · Latex, 19 pages, typos corrected and references added
arxiv created 2008/12/08 · openalex publication_date 2009/04/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.