Linear Topological Modules over Vertex Algebras

TL;DR

This paper introduces linear topological modules over vertex algebras and explores their applications in representing $eta-\gamma$ systems and affine Kac-Moody algebras.

Contribution

It presents a new framework for topological modules over vertex algebras and applies it to important algebraic structures in mathematical physics.

Findings

Defined linear topological modules over vertex algebras

Applied the concept to $eta-\gamma$ systems

Extended the framework to affine Kac-Moody algebra representations

Abstract

We introduce the concept of linear topological modules over vertex algebras and apply it to representations of $\beta-\gamma$ system and affine Kac-Moody algebras.