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

Amihay Hanany | Zendy; Nikolaos Prezas | Zendy; Jan Troost | Zendy

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

Author(s) -

Amihay Hanany,

Nikolaos Prezas,

Jan Troost

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/04/014

Subject(s) - partition function (quantum field theory) , conformal field theory , conformal map , mathematics , coset , euclidean geometry , mathematical physics , pure mathematics , physics , mathematical analysis , combinatorics , quantum mechanics , geometry

We compute the partition function of the conformal field theory on thetwo-dimensional euclidean black hole background using path-integral techniques.We show that the resulting spectrum is consistent with the algebraicexpectations for the SL(2,R)/U(1) coset conformal field theory construction. Inparticular, we find confirmation for the bound on the spin of the discreterepresentations and we determine the density of the continuous representations.We point out the relevance of the partition function to all string theorybackgrounds that include an SL(2,R)/U(1) coset factor.Comment: 17 pages, references added and typos correcte

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