CFT description of three-dimensional Hawking-Page transition

Details CFT description of three-dimensional Hawking-Page transition CFT description of three-dimensional Hawking-Page transition

2004-03-08

arxiv.org/abs/hep-th/0403091v3

Prog.Theor.Phys. 113 (2005) 1193-1213

Physics

High Energy Physics

High Energy Physics - Theory

21 pages,14 figures, typos corrected, references removed and added. final version accepted in Prog.Theor.Phys

Scientific paper

10.1143/PTP.113.1193

We construct a phenomenological conformal field theory (CFT) model of the three-dimensional Hawking-Page transition. We find that free fermion CFT models on the boundary torus give a description of the three-dimensional Hawking-Page transition. If modular invariance is respected, the free fermion model implies that the transition occurs continuously through the conical space phase and the small black hole phase. On the other hand, if we are allowed to break modular invariance, we can construct a free fermion model that reproduces the usual Euclidean semi-classical result, and in particular exhibits a first-order phase transition.

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