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 study the trace functions in orbifold theory for Z-graded vertex operator superalgebras
and obtain a modular invariance result. More precisely, let V be a C2-cofinite Z-graded …

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 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 …

We develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator
algebras. Then we show that Schellekens' classification of V 1-structures of meromorphic …

In this thesis we develop an orbifold theory for a finite, cyclic group $ G $ acting on a suitably
regular, holomorphic vertex operator algebra $ V $. To this end we describe the fusion …

In this article, using an idea of the physics superselection principal, we study a modularity on
vertex operator algebras arising from semisimple primary vectors. We generalizes the theta …

We consider genus one n-point functions for a vertex operator superalgebra with a real
grading. We compute all n-point functions for rank one and rank two fermion vertex operator …

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 …

In this article we give a new proof of the determination of the full automorphism group of the
baby-monster vertex operator superalgebra based on a theory of simple current extensions …