Oscillator Level for Black Holes and Black Rings

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.

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

References in corpus (9)

• A supersymmetric black ring
• General Concentric Black Rings
• Supersymmetric black rings and three-charge supertubes
• 3-charge geometries and their CFT duals
• Concentric Black Rings
• Microscopic Description of Black Rings in AdS/CFT
• Non-supersymmetric black rings as thermally excited supertubes
• Microscopic Entropy of the Black Ring
• How hairy can a black ring be?

Cited by in corpus (9)

• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Black Rings
• What is the dual of a dipole?
• A microstate for the 3-charge black ring
• Black Hole Thermodynamics from Euclidean Horizon Constraints
• Charges from Attractors
• Black Hole Entropy and the Problem of Universality
• Exact Microscopic Entropy of Non-Supersymmetric Extremal Black Rings
• Black Strings, Black Rings and State-space Manifold