On the CFT duals for near-extremal black holes
High Energy Physics - Theory
2011-08-03 v1
Abstract
We consider Kerr-Newman-AdS-dS black holes near extremality and work out the near-horizon geometry of these near-extremal black holes. We identify the exact U(1)_L x U(1)_R isometries of the near-horizon geometry and provide boundary conditions enhancing them to a pair of commuting Virasoro algebras. The conserved charges of the corresponding asymptotic symmetries are found to be well defined and non-vanishing and to yield central charges c_L\neq0 and c_R=0. The Cardy formula subsequently reproduces the Bekenstein-Hawking entropy of the black hole. This suggests that the near-extremal Kerr-Newman-AdS-dS black hole is holographically dual to a non-chiral two-dimensional conformal field theory.
Keywords
Cite
@article{arxiv.1005.2255,
title = {On the CFT duals for near-extremal black holes},
author = {Jorgen Rasmussen},
journal= {arXiv preprint arXiv:1005.2255},
year = {2011}
}
Comments
11 pages