Bosonization as Duality

TL;DR

This paper demonstrates that bosonization in two dimensions can be understood as a specific instance of duality transformations, enabling systematic construction of bosonic equivalents of fermionic theories.

Contribution

It establishes a novel perspective by deriving bosonization from duality transformations, unifying and simplifying the process of bosonizing various fermionic models.

Findings

Bosonization can be derived from duality transformations in 2D.

Constructs bosonic counterparts for Dirac, Thirring models, and fermions on cylinders.

Provides a unified framework for bosonization using duality rules.

Abstract

We show that bosonization in two dimensions can be derived as a special case of the duality transformations that have recently been used to good effect in string theory. This allows the construction of the bosonic counterpart of any fermionic theory simply by `following your nose' using the standard duality transformation rules. We work through the bosonization of the Dirac fermion, the massive and massless Thirring models, and a fermion on a cylindrical spacetime as illustrative examples.