Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra

TL;DR

This paper develops a braided tensor category structure for categories of generalized modules over a conformal vertex algebra, advancing the theoretical framework of vertex operator algebra modules.

Contribution

It introduces the braided tensor category structure on module categories of conformal vertex algebras, building on prior tensor category theory developments.

Findings

Constructed braided tensor category structure using previous results

Unified framework for generalized modules of vertex algebras

Enhanced understanding of module category properties

Abstract

This is the eighth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (Part VIII), we construct the braided tensor category structure, using the previously developed results.