Chiral bosonization as a Duality

TL;DR

This paper extends abelian bosonization via duality to include gauging anomalous symmetries, successfully applying it to both Dirac and chiral fermion theories.

Contribution

It introduces a novel approach to bosonization by incorporating duality transformations to gauge anomalous symmetries, including chiral cases.

Findings

Extended bosonization technique to anomalous symmetries

Successfully applied to Dirac fermion theory

Achieved bosonization of chiral fermions

Abstract

We demonstrate that the technique of abelian bosonization through duality transformations can be extended to gauging anomalous symmetries. The example of a Dirac fermion theory is first illustrated. This idea is then also applied to bosonize a chiral fermion by gauging its chiral phase symmetry.