AdS/CFT Casimir Energy for Rotating Black Holes
arXiv:hep-th/0507034 · doi:10.1103/PhysRevLett.95.231601
Abstract
We show that if one chooses the Einstein Static Universe as the metric on the conformal boundary of Kerr-AdS spacetime, then the Casimir energy of the boundary conformal field theory can easily be determined. The result is independent of the rotation parameters, and the total boundary energy then straightforwardly obeys the first law of thermodynamics. Other choices for the metric on the conformal boundary will give different, more complicated, results. As an application, we calculate the Casimir energy for free self-dual tensor multiplets in six dimensions, and compare it with that of the seven-dimensional supergravity dual. They differ by a factor of 5/4.
4 pages, Latex
References in corpus (4)
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- Rotating Black Holes in Higher Dimensions with a Cosmological Constant
- Bulk/Boundary Thermodynamic Equivalence, and the Bekenstein and Cosmic-Censorship Bounds for Rotating Charged AdS Black Holes
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Cited by in corpus (15)
- Regularization of odd-dimensional AdS gravity: Kounterterms
- Electromagnetic Properties of Kerr-Anti-de Sitter Black Holes
- Mass of Rotating Black Holes in Gauged Supergravities
- Kerr-de Sitter Black Holes with NUT Charges
- Stress Tensors from Trace Anomalies in Conformal Field Theories
- Partition Functions, the Bekenstein Bound and Temperature Inversion in Anti-de Sitter Space and its Conformal Boundary
- Gyromagnetic Ratio of Charged Kerr-Anti-de Sitter Black Holes
- Stationary Strings in the Spacetime of Rotating Black Holes in Five-Dimensional Minimal Gauged Supergravity
- Frame-independent holographic conserved charges
- A New Boundary Counterterm for Asymptotically AdS Spacetimes
- Conserved charges in (Lovelock) gravity in first order formalism
- First Law, Counterterms and Kerr-AdS_5 Black Holes
- Spinor Fields and Symmetries of the Spacetime
- AdS Solutions in Gauge Supergravities and the Global Anomaly for the Product of Complex Two-Cycles
- Vacuum energy in Kerr-AdS black holes