Factored coset models: A unifying approach to different bosonization schemes

TL;DR

This paper presents a unifying framework for various bosonization schemes using a path integral approach, highlighting the role of coset models in ensuring correct superselection rules across different models.

Contribution

It introduces a factored coset model approach that unifies abelian and non-abelian bosonization schemes through a path integral perspective.

Findings

Different bosonization schemes are understood as factorizations of a trivial coset.

The approach clarifies the role of coset models in superselection rules.

Provides a unified theoretical framework for bosonization methods.

Abstract

We discuss various bosonization schemes from a path integral perspective. Our analysis shows that the existence of different bosonization schemes, such as abelian bosonization of non-abelian models and non-abelian bosonization of fermions with colour and flavour indices, can be understood as different ways of factoring out a dynamically trivial coset which contains the fermions. From this perspective follows the importance of the coset model in ensuring the correct superselection rules on the bosonic level.