What comprises a global symmetry of a Quantum Field Theory (QFT) has been vastly
expanded in the past 10 years to include not only symmetries acting on higher-dimensional …

These are a set of lecture notes on generalized global symmetries in quantum field theory.
The focus is on invertible symmetries with a few comments regarding non-invertible …

Abstract $ q $-charges describe the possible actions of a generalized symmetry on $ q $-
dimensional operators. In Part I of this series of papers, we describe $ q $-charges for …

We propose a general framework to characterize gapped infra-red (IR) phases of theories
with non-invertible (or categorical) symmetries. In this paper we focus on (1+ 1) d gapped …

Consider a d-dimensional quantum field theory (QFT) $\mathfrak {T} $, with a generalized
symmetry $\mathcal {S} $, which may or may not be invertible. We study the action of …

We present a general approach for detecting when a fusion category symmetry is
anomalous, based on the existence of a special kind of Lagrangian algebra of the …

What does it mean for a boundary condition to be symmetric with respect to a noninvertible
global symmetry? We discuss two possible definitions in 1+ 1 D QFTs and lattice models. On …