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On string theory in AdS3 backgrounds

2000/05/18 by Yuji Satoh, Satoh, Yuji
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0005169

16 pages, no figures, latex; talk given at YITP workshop, Kyoto, Japan, October 27-29, 1999

arxiv created 2000/05/18 · arxiv updated 2009/11/30

Abstract

We discuss the string theory on AdS3. In the first half of this talk, we review the SL(2,R) and the SL(2,C)/SU(2) WZW models which describe the strings on the Lorentzian and Euclidean AdS3 without RR backgrounds, respectively. An emphasis is put on the fundamental issues such as the unitarity, the modular invariance and the closure of the OPE. In the second half, we discuss some attempts at clarifying such problems. In particular, we discuss the modular invariance of the SL(2,R) WZW model and the calculation of the correlation functions of the SL(2,C)/SU(2) WZW model using the path-integral approach.

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