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 …

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 …

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 …

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 …

We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …

We propose a general framework for using local measurements, local unitaries, and
nonlocal classical communication to construct quantum channels, which can efficiently …

We explore non-invertible symmetries in two-dimensional lattice models with subsystem
$\mathbb Z_2 $ symmetry. We introduce a subsystem $\mathbb Z_2 $-gauging procedure …

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 …