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 …

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 …

Anomalies of global symmetries are important tools for understanding the dynamics of
quantum systems. We investigate anomalies of non-invertible symmetries in 3+ 1d using 4+ …

The purpose of this paper is to investigate the global categorical symmetries that arise when
gauging finite higher groups in three or more dimensions. The motivation is to provide a …

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 …

Recently it has been observed that branes in geometric engineering and holography have a
striking connection with generalized global symmetries. In this paper we argue that branes …

Topological duality defects arise as codimension one generalized symmetry operators in
quantum field theories (QFTs) with a duality symmetry. Recent investigations have shown …