(15.12.) Representation theory for non-invertible symmetries and asymptotic density of states
Sahand Seifnashri (IAS)
15.12.2022 at 16:15
We discuss non-invertible symmetries that generalize group-like symmetries in QFTs. We find the appropriate notion of representation for non-invertible symmetries needed to derive selection rules on correlation functions. We use this understanding to derive a Cardy-like formula for 2d CFTs with a finite non-invertible symmetry. More specifically, we derive a universal formula for the asymptotic density of states transforming in an irreducible representation of a non-invertible symmetry.
via ZOOM