The University of Arizona
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Non-Abelian Orbifold Theory

Algebra and Number Theory Seminar

Non-Abelian Orbifold Theory
Series: Algebra and Number Theory Seminar
Location: Online
Presenter: Thomas Gemünden, ETH Zurich

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.