CFT Duals for Extreme Black Holes
| Title: | CFT Duals for Extreme Black Holes |
| Author: |
Hartman, Thomas; Murata, Keiju; Nishioka, Tatsuma; Strominger, Andrew E.
Note: Order does not necessarily reflect citation order of authors. |
| Citation: | Hartman, Thomas, Keiju Murata, Keiju, Tatsuma Nishioka, and Andrew Strominger. 2009. CFT Duals for Extreme Black Holes. Journal of High Energy Physics 2009(4): 19. |
| Full Text & Related Files: |
0811.4393v2.pdf (201.4Kb; PDF) 
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| Abstract: | It is argued that the general four-dimensional extremal Kerr-Newman-AdS-dS black hole is holographically dual to a (chiral half of a) two-dimensional CFT, generalizing an argument given recently for the special case of extremal Kerr. Specifically, the asymptotic symmetries of the near-horizon region of the general extremal black hole are shown to be generated by a Virasoro algebra. Semiclassical formulae are derived for the central charge and temperature of the dual CFT as functions of the cosmological constant, Newton's constant and the black hole charges and spin. We then show, assuming the Cardy formula, that the microscopic entropy of the dual CFT precisely reproduces the macroscopic Bekenstein-Hawking area law. This CFT description becomes singular in the extreme Reissner-Nordstrom limit where the black hole has no spin. At this point a second dual CFT description is proposed in which the global part of the U(1) gauge symmetry is promoted to a Virasoro algebra. This second description is also found to reproduce the area law. Various further generalizations including higher dimensions are discussed. |
| Published Version: | doi:10.1088/1126-6708/2009/04/019 |
| Other Sources: | http://arxiv.org/abs/0811.4393 |
| 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:8087211 |
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