# Mathematical Sciences Research Institute

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# Seminar

Online Seminar: Superconformal factorization algebras and (framed) E2 algebras May 20, 2020 (10:00 AM PDT - 11:00 AM PDT)
Parent Program: MSRI: Online/Virtual
Speaker(s) Brian Williams (Northeastern University)
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Video

#### Superconformal Factorization Algebras And (Framed) E2 Algebras

Abstract/Media

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.

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#### Superconformal Factorization Algebras And (Framed) E2 Algebras

 H.264 Video 24993_28345_8357_Superconformal_Factorization_Algebras_and_(Framed)_E2_Algebras_2.mp4