The Classification of Fusion 2-Categories
Organizers
Speaker
Matthew Yu
Time
Wednesday, February 19, 2025 5:00 PM - 6:30 PM
Venue
A3-3-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
Fusion 2-categories are used to describe the fusion of 2-spacetime-dimensional surface operator, and describe the symmetries in (2+1)d quantum field theories. I will explain how to classify fusion 2-categories using braided fusion categories and group cohomological data. This is the crux of the classification, and what makes it homotopy coherent, is an equivalence between the 3-groupoid of (multi)fusion 2-categories up to monoidal equivalences and a certain 3-groupoid of commuting squares of BZ/2-equivariant space. I will present the data of these such commuting squares, and finally touch on a few applications of the classification.
Reference: arXiv:2411.05907