$g/u(1)^d$ parafermions from constrained WZNW theories

TL;DR

This paper develops a method to construct $g/u(1)^d$ parafermions from constrained WZNW theories, extending the understanding of affine Lie algebra symmetries in conformal field theory.

Contribution

It introduces a modified canonical quantization approach to derive generators and primary fields for the $g/u(1)^d$ coset conformal field theories for any dimension d.

Findings

Derived generators for the extended symmetry algebra.

Constructed primary fields explicitly.

Applicable to arbitrary d in the coset construction.

Abstract

The conformal field theory based on the $g/u(1)^d$ coset construction is treated as the WZNW theory for the affine Lie algebra $\hat g$ with the constrained $\hat u(1)^d$ subalgebra.Using a modification of the generalized canonical quantization method generators and primary fields of an extended symmetry algebra are found for arbitrary d.