Logarithmic Operators and Dynamical Extention of The Symmetry Group in the Bosonic SU(2)_0 and SUSY SU(2)_2 WZNW Models

TL;DR

This paper investigates the operator product expansion in specific WZNW models, revealing the presence of logarithmic operators and conserved currents that extend the models' symmetry groups.

Contribution

It uncovers the emergence of logarithmic operators and symmetry extensions in bosonic and supersymmetric WZNW models through detailed OPE analysis.

Findings

Logarithmic operators are present in the OPEs.

New conserved currents extend the symmetry group.

The symmetry extension impacts the models' structure.

Abstract

We study the operator product expansion in the bosonic $SU(2)_0$ and SUSY $SU(2)_2$ WZNW models. We find that these OPEs contain both logarithmic operators and new conserved currents, leading to an extension of the symmetry group.