Logarithmic operators in the SL(2,R) WZNW model

TL;DR

This paper finds exact solutions to the Knizhnik-Zamolodchikov equations in the SL(2,R) WZNW model, revealing logarithmic behaviors and symmetries that impact the understanding of operator product expansions.

Contribution

It provides explicit solutions exhibiting logarithmic behavior in correlation functions, advancing the understanding of the model's structure and symmetries.

Findings

Logarithmic behavior in correlation functions

Symmetries in the SL(2,R) WZNW model

Implications for operator product expansion

Abstract

We find some exact solutions of the Knizhnik-Zamolodchikov equation for the four point correlation functions that occur in the SL(2,R) WZNW model. They exhibit logarithmic behaviour in both the Kac-Moody and Virasoro parts. We discuss their implication for the operator product expansion. We also observe the appearance of several symmetries of the correlation functions.