The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory

Details The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory

2002-02-20

arxiv.org/abs/hep-th/0202129v2

JHEP 0204 (2002) 014

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, references added and typos corrected

Scientific paper

10.1088/1126-6708/2002/04/014

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.

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