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 …

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

A bstract We study the non-invertible symmetries of class\(\mathcal {S}\) theories obtained by
compactifying the type\({\mathfrak {a}} _ {p-1}\) 6d (2, 0) theory on a genus g Riemann …

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 …

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

A bstract Symmetry is a powerful tool for studying dynamics in QFT: it provides selection
rules, constrains RG flows, and often simplifies analysis. Currently, our understanding is that …

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 …

The global symmetries of a D-dimensional quantum field theory (QFT) can, in many cases,
be captured in terms of a (D+ 1)-dimensional symmetry topological field theory (SymTFT). In …