In contrast with the finite dimensional case, one of the distinguished features in the theory of
infinite dimensional Lie algebras is the modular invariance of the characters of certain …

* 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 …

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A regular vertex operator algebra is a vertex operator algebra such that any weak module
(without grading) is a direct sum of ordinary irreducible modules. In this paper we give …

Vertex operator algebras (VOA) were introduced by Borcherds ([B]) as an axiomatic
description of the 'holomorphic part'of a conformal field theory ([BPZ]). An account of the …

After giving some definitions for vertex operator SUPERalgebras and their modules, we
construct an associative algebra corresponding to any vertex operator superalgebra, such …

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 …