Coset conformal field theories with abelian isotropy groups

TL;DR

This paper investigates coset conformal field theories with abelian isotropy groups, demonstrating their equivalence to constrained WZNW models and constructing their symmetry generators and primary fields.

Contribution

It introduces a novel approach to analyze coset CFTs with abelian isotropy groups by relating them to constrained WZNW models and explicitly constructing their symmetry structures.

Findings

Coset CFTs with abelian isotropy groups are equivalent to constrained WZNW models.

Generators of extended symmetry algebras are explicitly constructed.

Primary fields within these models are systematically derived.

Abstract

Conformal field theories based on $g/u(1)^d$ coset constructions where $g$ is a reductive algebra are studied.It is shown that the theories are equivalent to constrained WZNW models for $g.$ Generators of extended symmetry algebras and primary fields are constructed.