Let V be a vertex operator algebra and G a finite automorphism group of V. For each g∈ G
and nonnegative rational number n∈ Z/| g|, an associative algebra Ag, n (V) plays an …

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 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 …

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 …

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 simple vertex operator algebra and G a finite automorphism group of V such that
VG is regular. It is proved that every irreducible V G-module occurs in an irreducible g …

This paper is about the orbifold theory for vertex operator superalgebras. Given a vertex
operator superalgebra V and a finite automorphism group G of V, we show that the trace …

We extend the Dong-Mason theorem on the irreducibility of modules for orbifold vertex
algebras from [C. Dong, G. Mason, Duke Math. J. 86 (1997)] 305-321] for the category of …

Let V be a simple vertex operator algebra and G< Aut V a® nite abelian subgroup such that
Vg is rational. We study the representations of V based on certain assumptions on Vg …

Let V be a vertex operator algebra, and for ka positive integer, let g be ak-cycle permutation
of the vertex operator algebra V⊗ k. We prove that the categories of weak, weak admissible …