dc.contributor.author | Guica, Monica | |
dc.contributor.author | Hartman, Thomas | |
dc.contributor.author | Song, Wei | |
dc.contributor.author | Strominger, Andrew E. | |
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 | |
dc.identifier.doi | 10.1103/PhysRevD.80.124008 | * |
dash.contributor.affiliated | Song, Wei | |
dash.contributor.affiliated | Strominger, Andrew | |