This paper gives an analogue of Ag (V) theory for a vertex operator superalgebra V and an
automorphism g of finite order. The relation between the g-twisted V-modules and Ag (V) …

Let V be a vertex operator superalgebra and G a finite automorphism group of V. Let σ be
the order 2 automorphism of V associated with the superstructure of V. A sequence of …

Let V be a Z-graded vertex operator superalgebra and G a finite automorphism group of V of
order T. For g∈ G and n∈ 1 T Z+, a series of associative algebras A g, n (V) are constructed …

For a vertex operator algebra V and a vertex operator subalgebra V′ which is invariant
under an automorphism g of V of finite order, we introduce ag-twisted induction functor from …

This paper studies the twisted representations of vertex operator algebras. Let $ V $ be a
vertex operator algebra and $ g $ an automorphism of $ V $ of finite order $ T. $ For any $ m …

We construct two associative algebras from a vertex operator algebra $ V $ and a general
automorphism $ g $ of $ V $. The first, called a $ g $-twisted zero-mode algebra, is a …

We introduce a notion of a strongly C^ *-graded, or equivalently, C/Z-graded generalized g-
twisted V-module associated to an automorphism g, not necessarily of finite order, of a …

Let $ V $ be a vertex operator algebra and $ g $ an automorphism of finite order. We
construct an associative algebra $ A_g (V) $ and a pair of functors between the category of …

We introduce the notion of “local system of ZT-twisted vertex operators” on a Z2-graded
vector space M, generalizing the notion of local system of vertex operators [Li]. First, we …

Let V be a simple vertex operator algebra and G a finite automorphism group. We give a
construction of intertwining operators for irreducible VG-modules which occur as …