Correlation Functions of Winding Strings in AdS_3
Abstract
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.
Cite
@article{arxiv.0809.0295,
title = {Correlation Functions of Winding Strings in AdS_3},
author = {Pablo Minces},
journal= {arXiv preprint arXiv:0809.0295},
year = {2008}
}
Comments
Contribution to the Proceedings of "Ten Years of AdS/CFT", Buenos Aires, Argentina, December 2007 v2: misprint fixed