On string theory in AdS_3 backgrounds
Abstract
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 pathintegral approach.
 Publication:

arXiv eprints
 Pub Date:
 May 2000
 arXiv:
 arXiv:hepth/0005169
 Bibcode:
 2000hep.th....5169S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 16 pages, no figures, latex