University of Sydney Algebra Seminar
John Huerta
Friday 18 October, 12-1pm, Place: Carslaw 275
Vertex superalgebras from prefactorization algebras
Factorization algebras are a mathematical framework for the observables and symmetries of quantum field theory developed by Costello and Gwilliam. Inspired by the chiral algebras of Beilinson and Drinfeld, an important test case for the formalism was the construction of vertex algebras from a sufficiently nice class of factorization algebras on the complex plane, along with specific factorization algebra analogues of important vertex algebras. We recount joint ongoing work with Rui Peixoto showing that this construction can be superized. In particular, we describe the factorization algebra analogue of the super Kac-Moody vertex algebra, and touch on the super-Virosoro algebra if time permits.
We will not assume any familiarity with vertex algebras or mathematical physics for this talk.