Seminar

Zoom link.

https://msri.zoom.us/s/585445592

A result of Lian—Zuckerman deduces the structure of a Gerstenhaber (even BV) algebra on the cohomology of a ``topological vertex algebra” (physicists refer to this as a superconformal structure on a VOA). Recently, Costello—Gwilliam have defined a functor from the category of holomorphic factorization algebras to vertex algebras. In this talk, I formulate the notion of a ``superconformal” factorization algebra and show that it defines a topological vertex algebra under the functor of Costello—Gwilliam. Further, given any superconformal factorization algebra, I show that there exists a deformation to a locally constant (up to homotopy) factorization algebra. This locally constant factorization algebra provides a cochain model for the Gerstenhaber (BV) structure of Lian—Zuckerman. 

Superconformal Factorization Algebras And (Framed) E2 Algebras