Knizhnik-Zamolodchikov-type equations for gauged WZNW models

TL;DR

This paper investigates correlation functions in gauged WZNW models, specifically minimal models and the 2D black hole, revealing similarities with gravitational dressing and exploring logarithmic operators.

Contribution

It introduces a gauge dressing method for correlation functions in coset models and applies it to specific examples, highlighting novel insights into their structure.

Findings

Similarity between 2D black hole and gravitational dressing

Identification of logarithmic operators in the 2D black hole

Application of gauge dressing to minimal models

Abstract

We study correlation functions of coset constructions by utilizing the method of gauge dressing. As an example we apply this method to the minimal models and to the Witten 2D black hole. We exhibit a striking similarity between the latter and the gravitational dressing. In particular, we look for logarithmic operators in the 2D black hole.