Integration of the SL(2,R)/U(1) Gauged WZNW Theory by Reduction and Quantum Parafermions

TL;DR

This paper presents a method to directly solve the SL(2,R)/U(1) gauged WZNW model using gauge-invariant reduction, revealing the quantum structure of parafermions as coset currents and analyzing their algebraic deformations.

Contribution

It introduces a novel reduction technique for integrating the gauged WZNW theory and clarifies the quantum deformation of parafermion algebra and related currents.

Findings

Parafermions are identified as coset currents.

Quantum deformations of algebra and energy-momentum tensor are self-consistent.

Direct integration method simplifies analysis of the gauged WZNW model.

Abstract

Using a gauge invariant reduction we directly integrate the SL(2,R)/U(1) WZNW theory. We prove that the conserved parafermions of this theory are coset currents. Quantum mechanically, the parafermion algebra, the energy-momentum tensor, and `auxiliary' parafermions are deformed in a self-consistent manner.