Non-Invertible Symmetries, Boundary Conditions, and Topological Field Theory

Explore the intricate relationship between non-invertible global symmetries and boundary conditions in quantum field theories during this 1-hour 17-minute seminar presented by Yichul Choi at the Institute for Advanced Study. Delve into the fundamental properties of topological line defects that generate global symmetries in 1+1d conformal field theories. Examine how the algebra of symmetry operators is modified in the presence of conformal boundary conditions. Discover how a 2+1d topological field theory defined on manifolds with corners captures universal kinematic aspects of this symmetry algebra, including its representation theory. Gain insights into applications ranging from soliton scattering to symmetry-resolved entanglement entropies, based on recent research findings.

Non-Invertible Symmetries, Boundary Conditions, and Topological Field Theory - Yichul Choi