… Our theorem assumes only that the vertex operator algebra that we consider satisfies … the
braided tensor category structure on the category of modules for such a vertex operator algebra …

… vertex tensor category, and we announce that the category of modules for a rational vertex
operator algebra for which products of intertwining operators are convergent for variables in …

… the modular tensor category (MTC) associated to a unitary rational vertex operator algebra
(… In this paper, we assume that V is a vertex operator algebra of CFT type. Except in chapter 1…

… vertex tensor category. Here we present the fundamental properties of the P ( z )-tensor
product of two modules for a vertex operator algebra. We give two constructions of a P( z )-tensor …

… vertex tensor category" structure on the category of modules for a suitable vertex operator
algebra… pers is to show that the category of modules for a suitable vertex operator algebra is a …

… vertex operator algebra (VOA). We define, for a unitary rational vertex operator algebra V, a
… Lambda \) on each vector space of intertwining operators. We give two sets of criteria for the …

… of the representation theory of vertex operator algebras, and more generally, vertex … Our
setting is thus a vertex operator algebra V with a vertex tensor category C of modules that is …

… representation category of the underlying vertex operator algebra … tensor category of a given
vertex algebra. Our approach is to use structure of the vertex algebra and its tensor category …

… tensor category structure on a semisimple category of modules for the simple Virasoro vertex
operator algebra L(1, 0), and we show that if V is a simple vertex operator algebra and \(V^…

… that for a vertex operator algebra containing a vertex operator … that for the category of modules
for a vertex operator algebra … to a tensor product of vertex operator algebras of the form L(k,…