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 …

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 …

We determine the d+ 1 dimensional topological field theory, which encodes the higher-form
symmetries and their't Hooft anomalies for d-dimensional QFTs obtained by compactifying M …

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 …

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 …

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 …

A bstract It is well-known that six-dimensional superconformal field theories can be exploited
to unravel interesting features of lower-dimensional theories obtained via compactifications …

A bstract Five-and four-dimensional superconformal field theories with eight supercharges
arise from canonical threefold singularities in M-theory and Type IIB string theory …