The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
High Energy Physics - Theory
2014-11-18 v2
Abstract
We compute the partition function of the conformal field theory on the two-dimensional euclidean black hole background using path-integral techniques. We show that the resulting spectrum is consistent with the algebraic expectations for the SL(2,R)/U(1) coset conformal field theory construction. In particular, we find confirmation for the bound on the spin of the discrete representations and we determine the density of the continuous representations. We point out the relevance of the partition function to all string theory backgrounds that include an SL(2,R)/U(1) coset factor.
Keywords
Cite
@article{arxiv.hep-th/0202129,
title = {The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory},
author = {Amihay Hanany and Nikolaos Prezas and Jan Troost},
journal= {arXiv preprint arXiv:hep-th/0202129},
year = {2014}
}
Comments
17 pages, references added and typos corrected