States in the BRST cohomology for G/H WZNW models

TL;DR

This paper analyzes the BRST cohomology in gauged WZNW models, extending previous work to arbitrary representations and providing a deeper understanding of the structure of these models in conformal field theory.

Contribution

It generalizes the analysis of BRST cohomology in gauged WZNW models to include arbitrary representations, beyond abelian and specific non-abelian cases.

Findings

Extended BRST cohomology analysis to all representations

Clarified the structure of states in gauged WZNW models

Provided new insights into conformal field theory models

Abstract

WZNW models, especially gauged WZNW models, are important in the study of conformal field theories. Karabali and Schnitzer initiated the study of the BRST cohomology of a WZNW model gauged by an anomaly free vector sub-group and results were given for abelian sub-groups. This result was generalized to non-abelian sub-groups for a specific set of representations \cite{HR1}. The subject of this talk is the analysis of arbitrary representations \cite{HR2,Hw}.