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BIMSA TQFT and Higher Symmetries Seminar
BIMSA TQFT and Higher Symmetries Seminar
Geometric Categories for Continuous Gauging
Geometric Categories for Continuous Gauging
Organizers
Speaker
Matthew Yu
Time
Tuesday, April 28, 2026 4:00 PM - 5:30 PM
Venue
A3-3-201
Online
Zoom 559 700 6085
(BIMSA)
Abstract
I will present a unified categorical framework which encodes gauging of continuous and finite symmetries in arbitrary spacetime dimensions. I will show how this framework can identify electric and magnetic symmetries expected in G-gauge theory, and how to capture electric symmetry breaking resulting from the addition of charged matter. I introduce geometric categories, i.e. categories internal to stacks. This allows us to extend (de)equivariantization of fusion categories to continuous groups, construct a functorial SymTFT and boundaries for this theory, and compute the relevant categories of endomorphisms and Drinfeld centers.