Winding Strings in AdS_3

TL;DR

This paper analyzes correlation functions involving winding strings in AdS_3, deriving modified equations and computing specific three- and four-point functions with spectral flow, advancing understanding of string interactions in this background.

Contribution

It introduces modified Knizhnik-Zamolodchikov equations for winding states and computes explicit three- and four-point functions involving spectral flow in AdS_3.

Findings

Derived modified KZ and null vector equations for winding states

Computed three-point functions with two spectral flowed operators

Analyzed four-point functions including one spectral flow state

Abstract

Correlation functions of one unit spectral flowed states in string theory on AdS_3 are considered. We present the modified Knizhnik-Zamolodchikov and null vector equations to be satisfied by amplitudes containing states in winding sector one and study their solution corresponding to the four point function including one w=1 field. We compute the three point function involving two one unit spectral flowed operators and find expressions for amplitudes of three w=1 states satisfying certain particular relations among the spins of the fields. Several consistency checks are performed.