Introduction to vertex operator algebras I

Abstract

This is the first part of the revised versions of the notes of three consecutive expository lectures given by Chongying Dong, Haisheng Li and Yi-Zhi Huang in the conference on Monster and vertex operator algebras at the Research Institute of Mathematical Sciences, Kyoto, September 4-9, 1994. In this part we review the definitions of vertex operator algebras and twisted modules, and discuss examples.

LaTeX file, 26 pages

References in corpus (4)

• W_{1+\infty} and W(gl_N) with central charge N
• Representation theory and tensor product theory for vertex operator algebras
• Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras
• The theory of physical superselection sectors in terms of vertex operator algebra language

Cited by in corpus (5)

• Modular $A_n(V)$ theory
• Introduction to vertex operator algebras III
• Cocommutative vertex bialgebras
• A spanning set for VOA modules
• Vertex Operator Extension of Casimir W A(N) Algebras