Correlation Functions of Winding Strings in AdS_3
Abstract
Description
We review certain results for amplitudes of spectral flowed operators in string theory on AdS_3. We present the modified Knizhnik-Zamolodchikov and null vector equations to be satisfied by correlators including w=1 operators. We then discuss the three point function of two w=1 and one w=0 operators in the x-basis, and perform a consistency check on the definition of the w=1 operator. We finally exhibit the steps in the calculation of the winding conserving four point functions for operators in arbitrary spectral flowed sectors, both in the m- and x-basis, under the only assumption that at least one of the operators is in the spectral flowed image of the highest weight discrete representation.
Contribution to the Proceedings of "Ten Years of AdS/CFT", Buenos Aires, Argentina, December 2007 v2: misprint fixed
Contribution to the Proceedings of "Ten Years of AdS/CFT", Buenos Aires, Argentina, December 2007 v2: misprint fixed