Anti-de Sitter-Space/Conformal-Field-Theory Casimir Energy for Rotating Black Holes

Journal Article · Fri Dec 02 00:00:00 EST 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.95.231601· OSTI ID:20699638

Gibbons, G W; Perry, M J ^[1]; Pope, C N ^[2]

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1. DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CB3 OWA (United Kingdom)
2. George P. and Cynthia W. Mitchell Institute for Fundamental Physics, Texas A and M University, College Station, Texas 77843-4242 (United States)

We show that, if one chooses the Einstein static universe as the metric on the conformal boundary of Kerr-anti-de Sitter 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.

• OSTI ID: 20699638
• Journal Information: Physical Review Letters, Vol. 95, Issue 23; Other Information: DOI: 10.1103/PhysRevLett.95.231601; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CASIMIR EFFECT
CONFORMAL INVARIANCE
COSMOLOGY
DE SITTER GROUP
MANY-DIMENSIONAL CALCULATIONS
QUANTUM FIELD THEORY
SPACE-TIME
SUPERGRAVITY
TENSORS
THERMODYNAMICS
UNIVERSE