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 …

We define the partition and n-point correlation functions for a vertex operator superalgebra
on a genus two Riemann surface formed by sewing two tori together. For the free fermion …

We define the partition and n-point functions for a vertex operator algebra on a genus two
Riemann surface formed by sewing two tori together. We obtain closed formulas for the …

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 n-point correlation functions for a vertex operator algebra V on a Riemann surface
of genus 2 obtained by attaching a handle to a torus. We obtain closed formulas for the …

In this paper, we study certain partial and false theta functions in connection to vertex
operator algebras and conformal field theory. We prove a variety of results concerning the …

We apply an idea of framed vertex operator algebras to a construction of local conformal
nets of (injective type III1) factors on the circle corresponding to various lattice vertex …

We give an example of an irrational C 2-cofinite vertex operator algebra whose central
charge is− 2 d for any positive integer d. This vertex operator algebra is given as the even …

The goal of the present paper is to provide a mathematically rigorous foundation to certain
aspects of the theory of rational orbifold models in conformal field theory, in other words 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 …