Vertex
operator algebras are an algebraic tool for the rigorous mathematical study of
two-dimensional conformal quantum field theory. In this course, we will focus
on the definition, axioms, and examples of vertex operator algebras and their representations.
If time permits, we will also introduce the representation theory of vertex
operator algebras, with topics including intertwining operators and tensor
categories of modules.
E-mail：rhmcrae@tsinghua.edu.cn
The
course material will be selected from the following references:
Introduction to Vertex Operator
Algebras and Their Representations by James Lepowsky and Haisheng Li
Vertex Operator Algebras and the
Monster by Igor
Frenkel, James Lepowsky, and Arne Meurman
On axiomatic approaches to vertex
operator algebras and modules by Igor Frenkel, Yi-Zhi Huang, and James Lepowsky
Logarithmic tensor category theory
for generalized modules for a conformal vertex algebra by Yi-Zhi Huang, James Lepowsky,
and Lin Zhang
Some
additional references on vertex operator algebras:
Vertex Algebras for Beginners by Victor Kac
Vertex Algebras and Algebraic Curves by David Ben-Zvi and Edward Frenkel
