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Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole

arXiv:hep-th/0005183 · doi:10.1063/1.1377039

Abstract

We consider the one-loop partition function for Euclidean BTZ black hole backgrounds or equivalently thermal AdS_3 backgrounds which are quotients of H_3 (Euclidean AdS_3). The one-loop partition function is modular invariant and we can read off the spectrum which is consistent to that found in hep-th/0001053. We see long strings and discrete states in agreement with the expectations.

23 pages, 3 figures