Boson-fermion correspondence from factorization spaces

TL;DR

This paper proves the boson-fermion correspondence, an isomorphism between lattice and fermion vertex algebras, using the framework of factorization spaces, providing a geometric perspective on this fundamental equivalence.

Contribution

It introduces a novel proof of the boson-fermion correspondence via isomorphism of factorization spaces, linking algebraic and geometric approaches.

Findings

Establishes the isomorphism of lattice and fermion vertex algebras through factorization spaces

Provides a geometric proof of the boson-fermion correspondence

Bridges algebraic and geometric methods in vertex algebra theory

Abstract

We give a proof of the boson-fermion correspondence (an isomorphism of lattice and fermion vertex algebras) in terms of isomorphism of factorization spaces.