CFT description of three-dimensional Hawking-Page transition
High Energy Physics - Theory
2009-11-10 v3 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0403091,
title = {CFT description of three-dimensional Hawking-Page transition},
author = {Yasunari Kurita and Masa-aki Sakagami},
journal= {arXiv preprint arXiv:hep-th/0403091},
year = {2009}
}
Comments
21 pages,14 figures, typos corrected, references removed and added. final version accepted in Prog.Theor.Phys