UC San Diego

We study the properties and applications of generalized symmetries in the quantum field theories. We explore how to use the spacetime symmetry and the internal symmetry to refine the Cardy formula in 2-dimensional conformal field theories. We use the technique of group theoretical fusion categories to study the physical implications of triality defects in 2d CFT. We also explore when the non-invertible symmetries are non-intrinsically non-invertible, that is, when they can be constructed from topological manipulations of invertible symmetries.