Non-invertible Symmetry, Boundary Conditions, and Topological Field Theories in CFT

Watch a 90-minute physics lecture exploring recent developments in non-invertible symmetries and their relationship with boundary conditions in quantum field theory. Delve into the mechanics of non-invertible symmetry's action on interval Hilbert space and learn how to categorize different representations and sectors within this framework. Understand the essential role of topological field theory techniques in this analysis, leading to a practical application deriving the universal asymptotic behavior formula for CFT partition functions on intervals at high temperatures. Presented at the Beijing Institute of Mathematical Sciences and Applications (BIMSA), this advanced theoretical physics talk bridges fundamental concepts with practical applications in quantum field theory.