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arXiv · hep-th/0506110

Oscillator Level for Black Holes and Black Rings

Roberto Emparan·David Mateos
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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=2π\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.

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Roberto Emparan, David Mateos. 2005-06-29. Oscillator Level for Black Holes and Black Rings. https://doi.org/10.1088/0264-9381%2F22%2F17%2F016

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