Geometric Categories for Continuous Gauging
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.
演讲者介绍
Matthew Yu is a postdoc at the mathematical institute at the University of Oxford. Before that, he earned his PhD at the University of Waterloo, while working at the Perimeter Institute for theoretical physics. He focuses on studying mathematical aspects of quantum field and string theory, bringing in ideas of homotopy theory and higher (fusion) categories.