Oscillator Level for Black Holes and Black Rings
High Energy Physics - Theory
2009-11-11 v2
Abstract
Microscopic calculations of the Bekenstein-Hawking entropy of supersymmetric black holes in string theory are typically based on the application to a dual 2D CFT of Cardy's formula, S=2\pi \sqrt{c q /6}, where `c' is the central charge and `q' is the oscillator level. In the CFT, q is non-trivially related to the total momentum. We identify a Komar integral that equals q when evaluated at the horizon, and the total momentum when evaluated at asymptotic infinity, thus providing a gravitational dual of the CFT result.
Keywords
Cite
@article{arxiv.hep-th/0506110,
title = {Oscillator Level for Black Holes and Black Rings},
author = {Roberto Emparan and David Mateos},
journal= {arXiv preprint arXiv:hep-th/0506110},
year = {2009}
}
Comments
14 pages; v2: Distinction between near-horizon and full BTZ metrics clarified, reference added