Non-Abelian Orbifold Theory

Abstract: In this talk, we will discuss the theory of holomorphic extensions of non-abelian orbifold vertex operator algebras. We will give a brief overview of the concepts and motivations of vertex operator algebras and their modules. Then we will construct the module category of non-abelian orbifold vertex operator algebras and classify their holomorphic extensions. If time permits we will prove that there exist holomorphic vertex operator algebras at central charge 72 that cannot be constructed as a holomorphic extension of a cyclic orbifold of a lattice vertex operator algebra.

number theory

Audience: researchers in the topic

University of Arizona Algebra and Number Theory Seminar