talk 12: Factorization algebras and a chiral 6d/2d correspondence

2 Apr 2025, 09:00
50m

Speaker

Brian Williams (Boston University)

Description

The holomorphic twist (minimal BPS sector) of 6-dimensional N=(2,0) superconformal symmetry enhances to an infinite-dimensional symmetry algebra of exceptional type. Using the theory of factorization algebras we explain how this symmetry algebra plays an essential role in a chiral version of the famous 6d N=(2,0) /2d CFT correspondence. From the perspective of the holomorphic twist of the 6d theory, we further propose a
generalization of related theorems of Nakajima and Grojnowski on the vertex algebra structure present in the cohomology of the Hilbert scheme of points.

Presentation materials