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 …

Generalized Symmetries in Condensed Matter | Annual Reviews Menu Publications AZ Journal
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We introduce a definition and framework for internal topological symmetries in quantum field
theory, including “noninvertible symmetries” and “categorical symmetries”. We outline a …

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 …

We identify infinitely many noninvertible generalized global symmetries in QED and QCD for
the real world in the massless limit. In QED, while there is no conserved Noether current for …

We discuss invertible and non-invertible topological condensation defects arising from
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …

We elucidate the fate of classical symmetries which suffer from Abelian Adler-Bell-Jackiw
anomalies. Instead of being completely destroyed, these symmetries survive as …