The Kerr/CFT Correspondence
| Title: | The Kerr/CFT Correspondence |
| Author: |
Guica, Monica; Hartman, Thomas; Strominger, Andrew E.; Song, Wei
Note: Order does not necessarily reflect citation order of authors. |
| Citation: | Guica, Monica, Thomas Hartman, Wei Song, and Andrew E. Strominger. 2009. The Kerr/CFT correspondence. Physical Review D 80(12): 124008. |
| Full Text & Related Files: |
0809.4266v1.pdf (252.6Kb; PDF) 
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| 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 \(c_L\sim 2 \times 10^{79}\). |
| Published Version: | doi:10.1103/PhysRevD.80.124008 |
| Other Sources: | http://arxiv.org/abs/0809.4266 |
| Terms of Use: | This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:8156576 |
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