The purpose of this paper is to generalize Zhu's theorem about characters of modules over a
vertex operator algebra graded by integer conformal weights, to the setting of a vertex …

Let V be a vertex operator superalgebra and σ the order 2 automorphism associated with the
superstructure of V. For a finite order automorphism g with σ (gσ)= T', we follow [8] to …

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 …

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 classify irreducible σ-twisted modules for the N= 1 super triplet vertex operator
superalgebra SW (m) introduced recently [Adamovic D., Milas A., Comm. Math. Phys., to …

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 …

We investigate trace functions of modules for vertex operator algebras (VOA) satisfying C 2-
cofiniteness. For the modular invariance property, Zhu assumed two conditions in Z:(1) A (V) …

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 …

Vertex operator algebras (VOA) were introduced in physics by Belavin, Polyakov and
Zamolodchikov (BPZ] and in mathematics by Borcherds [B]. For a detailed exposition of the …

We introduce a newfamily of C 2-cofinite N= 1 vertex operator superalgebras SW (m), m≥ 1,
which are natural super analogs of the triplet vertex algebra family W (p), p≥ 2, important in …