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 …

Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …

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 …

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 We derive the Symmetry Topological Field Theories (SymTFTs) for 3d
supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric …

R7-branes are a class of recently discovered nonsupersymmetric real codimension-two
duality defects in type IIB string theory predicted by the swampland cobordism conjecture …

Within the framework of relative and absolute quantum field theories (QFTs), we present a
general formalism for understanding polarizations of the intermediate defect group and …

Generalized global symmetries are a common feature of many quantum field theories
decoupled from gravity. By contrast, in quantum gravity/the Swampland program, it is widely …