One-loop amplitudes of winding strings in AdS 3 and the Coulomb gas approach

Abstract

We discuss a Coulomb gas realization of n-point correlation functions in the SL(2,R) Wess-Zumino-Witten (WZW) model that is suitable to compute scattering amplitudes of winding strings in 3-dimensional Anti-de Sitter space at tree-level and one-loop. This is a refined version of previously proposed free-field realizations that, among other features, accomplishes to make the H+3 WZW-Liouville correspondence manifest.