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Geometric Categories for Continuous Gauging

组织者

白岸斯 , 陈群皓 , 孔良 , 王亦龙 , 张智浩 , 郑浩

演讲者

Matthew Yu

时间

2026年04月28日 16:00 至 17:30

地点

A3-3-201

线上

Zoom 559 700 6085 (BIMSA)

摘要

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.