Factored coset approach to bosonization in the context of topological backgrounds and massive fermions

TL;DR

This paper explores a bosonization method that decomposes fermionic partition functions into coset and bosonic parts, effectively incorporating topological backgrounds and massive fermions, advancing understanding in quantum field theory.

Contribution

It demonstrates how the coset approach to bosonization can be extended to include topological backgrounds and massive fermions, providing a new framework for such systems.

Findings

Successfully incorporates topological backgrounds into the bosonization framework

Extends the coset approach to massive fermions

Provides a consistent method for fermionic partition functions in complex backgrounds

Abstract

We consider a recently proposed approach to bosonization in which the original fermionic partition function is expressed as a product of a $G/G$-coset model and a bosonic piece that contains the dynamics. In particular we show how the method works when topological backgrounds are taken into account. We also discuss the application of this technique to the case of massive fermions.