Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-26
JHEP 0904:019,2009
Physics
High Energy Physics
High Energy Physics - Theory
18 pages; v2 minor changes
Scientific paper
10.1088/1126-6708/2009/04/019
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.
Hartman Thomas
Murata Keiju
Nishioka Tatsuma
Strominger Andrew
No associations
LandOfFree
CFT Duals for Extreme Black Holes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with CFT Duals for Extreme Black Holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and CFT Duals for Extreme Black Holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-275043