Oscillator Level for Black Holes and Black Rings

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages; v2: Distinction between near-horizon and full BTZ metrics clarified, reference added

Scientific paper

10.1088/0264-9381/22/17/016

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.

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