Kerr-AdS/CFT correspondence in diverse dimensions
By Hong Lu, Jianwei Mei, C. N. Pope. 2008
184 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d2c9794e17afb284f5177cc0baf2fa4b1170d738
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Citations in the corpus
- Hidden Conformal Symmetry of the Kerr Black Hole (2010, background): “teinHawking entropy and the finite temperature CFT correlators precisely match the Kerr scattering amplitudes. Other tests of the Kerr/CFT conjecture and its generalizations, all successful, appear in [5,6,7,8]. If the conjecture is correct finite excitations of the CFT are expected to correspond to g”
- Black hole superradiance from Kerr/CFT (2009, background): “The analysis was subsequently generalized to a large variety of extreme black holes with perfect agreement in every case [3–20].”
- CFT Duals for Extreme Black Holes (2008, methodology): “This is similar to the 5D Kerr-AdS case studied in [ 14 ], with qe taking the place of the second angular momentum.”
- Extremal Black Hole/CFT Correspondence in (Guaged) Supergravities (2008, methodology): “where V = 12R ′′|ˆ r=r0, and also T0 = 0. The near-horizon geometry is [ 11 ]”