… subcategory of V -modules to A-modules is a vertex tensor functor. Two applications are …
for regular vertex operator superalgebras and regular 1 2 Z-graded vertex operator algebras by …

… superalgebra L G ( 3 ) ( 1 , 0 ) . We prove that the category of ordinary modules of affine
vertex operator superalgebra L G ( 3 ) ( 1 , 0 ) is semisimple (see Theorem 6.8). …

… vertex operator superalgebra V and three V-modules M’ (i = 1,2,3), giving an intertwining
operator … For any complex number L, we define C, to be the category with restricted Vir-modules …

… These results are vertex operator algebra interpretations of theorems proved for general …
categories. We also generalize these results to the case that A is a vertex operator superalgebra…

… categories between local (super)algebra modules and extended vertex operator (super)algebra
modules is also an isomorphism of braided monoidal (super)categories. Using this result…

… -module A (M) for every V-module M and then describe the fusion rules in terms of modules
A … a functor from the category of V-modules to the category of A (V)-modules which is bijective …

… and the category of V -modules and the category of finite … of vertex operator superalgebra
and vertex operator super… g-twisted modules for a vertex operator superalgebra V and a finite …

… that g-rationality of a vertex operator superalgebra V = V0 ⊕ … -module is a submodule of an
irreducible g-twisted V-module … products for module categories for a vertex operator algebra, …

… vertex operator superalgebra over an arbitrary field in Section 2. We construct the associative
algebra A ( V ) of vertex operator superalgebra … module for V from an A ( V ) -module. The A …

… modules over a vertex operator algebra graded by integer conformal weights, to the setting
of a vertex operator superalgebra … to the category of Zhug(V)-modules. It sends M to M0 with …