Strings in AdS3 and the SL(2,R) WZW model. III. Correlation functions

Creators: Maldacena, Juan; Ooguri, Hirosi

Abstract

We consider correlation functions for string theory on AdS3. We analyze their singularities and we provide a physical interpretation for them. We explain which worldsheet correlation functions have a sensible physical interpretation in terms of the boundary theory. We consider the operator product expansion of the four-point function and we find that it factorizes only if a certain condition is obeyed. We explain that this is the correct physical result. We compute correlation functions involving spectral flowed operators and we derive a constraint on the amount of winding violation.

Additional Information

© 2002 The American Physical Society Received 24 January 2002; published 15 May 2002 We would like to thank D. Kutasov, J. Teschner, N. Seiberg, S. Shenker, and A. Zamolodchikov for discussions. We thank the Institute for Theoretical Physics at the University of California, Santa Barbara, for hospitality. H.O. would also like to thank Harvard University and the Aspen Center for Physics. The research of J.M. was supported in part by DOE Grant No. DE-FGO2-91ER40654, NSF Grants No. PHY-9513835 and No. PHY99-07949, the Sloan Foundation, and the David and Lucile Packard Foundation. The research of H.O. was supported in part by DOE Grant No. DE-FG03-92-ER40701 and by the Caltech Discovery Fund.

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