On string theory in AdS_3 backgrounds

Details On string theory in AdS_3 backgrounds On string theory in AdS_3 backgrounds

2000-05-18

arxiv.org/abs/hep-th/0005169v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

We discuss the string theory on AdS_3. 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 AdS_3 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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