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 We revisit the symmetries of massless two-dimensional adjoint QCD with gauge
group SU (N). The dynamics is not sufficiently constrained by the ordinary symmetries and …

It is customary to couple a quantum system to external classical fields. One application is to
couple the global symmetries of the system (including the Poincar\'{e} symmetry) to …

A bstract We study reductions of 6d theories on a d-dimensional manifold M d, focusing on
the interplay between symmetries, anomalies, and dynamics of the resulting (6− d) …

We propose the general idea that't Hooft anomalies of generalized global symmetries can
be understood in terms of the properties of solitonic defects, which generically are non …

group symmetries arise when 1-form symmetries and 0-form symmetries of a theory mix with
each other under group multiplication. We discover the existence of 2-group symmetries in …

A bstract In this work, building up on [1] we present momentum space Ward identities related
to broken higher spin symmetry as an alternate approach to computing correlators of …

We discuss symmetry fractionalization of the Lorentz group in (2+ 1) d non-spin quantum
field theory (QFT), and its implications for dualities. We prove that two inequivalent non-spin …

A bstract We determine the unitary and anti-unitary Lagrangian and quantum symmetries of
arbitrary abelian Chern-Simons theories. The symmetries depend sensitively on the …

A bstract We find boundary confining dualities of 3d\(\mathcal {N}\)= 2 supersymmetric
gauge theories with exceptional gauge groups. The half-indices which enumerate the …