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 …

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 …

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 …

We sketch a procedure to capture general non-invertible symmetries of a $ d $-dimensional
quantum field theory in the data of a higher-category, which captures the local properties of …

It is well‐known that gauging a finite 0‐form symmetry in a quantum field theory leads to a
dual symmetry generated by topological Wilson line defects. These are described by the …

In this lecture note, we give a basic introduction to the rapidly developing concepts of
generalized symmetries, from the perspectives of both high energy physics and condensed …

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 …

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 …

The modern approach to m‐form global symmetries in ad‐dimensional quantum field theory
(QFT) entails specifying dimension d− m− 1 dm-1 topological generalized symmetry …