Vertex algebras are algebraic objects that encapsulate the concept of operator product
expansion from two-dimensional conformal field theory. Vertex algebras are fast becoming …

* Introduces the fundamental theory of vertex operator algebras and its basic techniques and
examples.* Begins with a detailed presentation of the theoretical foundations and proceeds …

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 …

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 give an analogue for vertex operator algebras and superalgebras of the notion of
endomorphism ring of a vector space by means of a notion of “local system of vertex …

We introduce the notion of" local system of Zr-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 of V such that
VG is regular. It is proved that every irreducible V G-module occurs in an irreducible g …

The theory of vertex algebras constitutes a mathematically rigorous axiomatic formulation of
the algebraic origins of conformal field theory In this context Borcherds algebras arise as …

For a simple vertex operator algebra whose Virasoro element is a sum of commutative
Virasoro elements of central charge ½, two codes are introduced and studied. It is proved …

We consider how a vertex operator algebra can be extended to an abelian interwining
algebra by a family of weak twisted modules which are simple currents associated with …