Description
Generalized Charges, Symmetry TFT and Phases Protected by Non-Invertible Symmetries
Abstract: I will discuss how non-invertible symmetries act on (both local and extended) operators in a theory and present a generalized version of Landau-Ginzburg paradigm applicable to non-invertible symmetries. The central tool unifying all these considerations is that of Symmetry TFT. We will see that possible actions of a symmetry, referred to as generalized charges of that symmetry, are parametrized by topological defects of the Symmetry TFT. These generalized charges can confine or deconfine, and hence act as order parameters distinguishing gapped and gapless phases protected by non-invertible symmetries.
