Invertible and non-invertible generalized symmetry anomalies for pedestrians: a view from the torus

Speaker: 
Erich Poppitz
Institution: 
University of Toronto
Date: 
Thursday, October 12, 2023
Time: 
11:00 am
Location: 
NSII 1201

Abstract:

I will explain how quantizing a four-dimensional gauge theory on a spatial torus with twisted boundary conditions provides a simple and useful view of anomalies involving center symmetry and (invertible or non-invertible) chiral symmetries. I will show that these anomalies imply exact degeneracies in the torus Hilbert space. These degeneracies hold at any size torus and thus have implications for the infinite volume phase structure.

Host: 
Yuri Shirman