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 …

We survey recent developments in a novel kind of generalized global symmetry, the non-
invertible symmetry, in diverse spacetime dimensions. We start with several different but …

A bstract It is known that the't Hooft anomalies of invertible global symmetries can be
characterized by an invertible TQFT in one higher dimension. The analogous statement …

Given any symmetry acting on ad-dimensional quantum field theory, there is an associated
(d+ 1)-dimensional topological field theory known as the Symmetry TFT (SymTFT). The …

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 …

A bstract In axion-Maxwell theory at the minimal axion-photon coupling, we find non-
invertible 0-and 1-form global symmetries arising from the naive shift and center symmetries …

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 …

In gauge theory, it is commonly stated that time-reversal symmetry only exists at θ= 0 or π for
a 2 π-periodic θ angle. In this Letter, we point out that in both the free Maxwell theory and …