Huang, Lepowsky and Zhang have developed a module theory for vertex operator algebras
that endows suitably chosen module categories with the structure of braided monoidal …

We show that if $\mathcal {U} $ and $\mathcal {V} $ are locally finite abelian categories of
modules for vertex operator algebras $ U $ and $ V $, respectively, then the Deligne tensor …

Let V be a simple vertex operator algebra satisfying the following conditions:(i) V (n)= 0 for
n< 0,, and the contragredient module V'is isomorphic to V as a V-module;(ii) every weak V …

This is the first 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) …

Various monoidal categories, including suitable representation categories of vertex operator
algebras, admit natural Grothendieck-Verdier duality structures. We recall that such a …

Let $ V $ be a vertex operator algebra with a category $\mathcal {C} $ of (generalized)
modules that has vertex tensor category structure, and thus braided tensor category …

Abstract Let V⊆ A be a conformal inclusion of vertex operator algebras and let C be a
category of grading-restricted generalized V-modules that admits the vertex algebraic …

We discuss a recent proof by the author of a general version of the Verlinde conjecture in the
framework of vertex operator algebras and the application of this result to the construction of …

Twisted modules and quasi-modules for vertex operator algebras Page 412 http://dx. doi.
org/10.1090/conm/442/08537 Contemporary Mathematics Volume 442, 2007 Twisted modules …

Let $ V $ be a vertex operator algebra with a category $\mathcal {C} $ of (generalized)
modules that has vertex tensor category structure, and thus braided tensor category …