Hydden Symmetry approach to the Extended Symmetries in Nonabelian Free Fermionic and WZNW Models

TL;DR

This paper explores higher spin extensions of nonabelian gauge symmetries in free fermionic and WZNW models, focusing on classical level analysis and invariant current spaces for gauging symmetries.

Contribution

It introduces a method to obtain an extended invariant current space in WZNW models, enabling gauge symmetry realization for higher spin extensions.

Findings

Higher spin currents do not form an invariant space in WZNW models.

An extended invariant current space is constructed for gauging.

The approach clarifies the classical structure of higher spin symmetries.

Abstract

Higher spin extensions of nonabelian gauge symmetries for both free fermionic model and WZNW model are considered on a classical level. It is characteristic property of the WZNW model that the higher spin currents which correspond to linear realized higher spin extended affine algebra do not form an invariant space. An extended invariant current space is obtained which allows us to gauge the symmetry.