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 …

Let V be a vertex operator algebra satisfying suitable conditions such that in particular its
module category has a natural vertex tensor category structure, and consequently, a natural …

Let $ V $ be an $\mathbb {N} $-graded, simple, self-contragredient, $ C_2 $-cofinite vertex
operator algebra. We show that if the $ S $-transformation of the character of $ V $ is a linear …

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 …

We show that direct limit completions of vertex tensor categories inherit vertex and braided
tensor category structures, under conditions that hold for example for all known Virasoro and …

We relate commutative algebras in braided tensor categories to braid-reversed tensor
equivalences, motivated by vertex algebra representation theory. First, for C a braided …

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) …

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 there is a braided tensor category structure on the category of C 1-cofinite
modules for the (universal or simple) Virasoro vertex operator algebras of arbitrary central …

Abstract Suppose V^ G VG is the fixed-point vertex operator subalgebra of a compact group
G acting on a simple abelian intertwining algebra V. We show that if all irreducible V^ G VG …