The Kerr/CFT Correspondence

 dc.contributor.author Guica, Monica dc.contributor.author Hartman, Thomas dc.contributor.author Strominger, Andrew E. dc.contributor.author Song, Wei dc.date.accessioned 2012-02-12T23:56:58Z dc.date.issued 2009 dc.identifier.citation Guica, Monica, Thomas Hartman, Wei Song, and Andrew E. Strominger. 2009. The Kerr/CFT correspondence. Physical Review D 80(12): 124008. en_US dc.identifier.issn 1550-2368 en_US dc.identifier.issn 1550-7998 en_US dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:8156576 dc.description.abstract Quantum gravity in the region very near the horizon of an extreme Kerr black hole (whose angular momentum and mass are related by $$J = GM^2$$) is considered. It is shown that consistent boundary conditions exist, for which the asymptotic symmetry generators form one copy of the Virasoro algebra with central charge $$c_L = 12J/\hbar$$. This implies that the near-horizon quantum states can be identified with those of (a chiral half of) a two-dimensional conformal field theory (CFT). Moreover, in the extreme limit, the Frolov-Thorne vacuum state reduces to a thermal density matrix with dimensionless temperature $$T_L = 1/2\pi$$ and conjugate energy given by the zero mode generator, $$L_0$$, of the Virasoro algebra. Assuming unitarity, the Cardy formula then gives a microscopic entropy $$S_{micro} = 2\pi J/\hbar$$ for the CFT, which reproduces the macroscopic Bekenstein-Hawking entropy $$S_{macro} = Area/4\hbar G$$. The results apply to any consistent unitary quantum theory of gravity with a Kerr solution. We accordingly conjecture that extreme Kerr black holes are holographically dual to a chiral two-dimensional conformal field theory with central charge $$c_L = 12J/\hbar$$, and, in particular, that the near-extreme black hole GRS 1915+105 is approximately dual to a CFT with $$c_L\sim 2 \times 10^{79}$$. en_US dc.description.sponsorship Physics en_US dc.language.iso en_US en_US dc.publisher American Physical Society en_US dc.relation.isversionof doi:10.1103/PhysRevD.80.124008 en_US dc.relation.hasversion http://arxiv.org/abs/0809.4266 en_US dash.license OAP dc.subject astrophysics en_US dc.subject high energy physics en_US dc.subject general relativity en_US dc.subject quantum cosmology en_US dc.title The Kerr/CFT Correspondence en_US dc.type Journal Article en_US dc.description.version Author's Original en_US dc.relation.journal Physical Review D en_US dash.depositing.author Strominger, Andrew E. dc.date.available 2012-02-12T23:56:58Z

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