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 …

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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 …

We introduce a class of noninvertible topological defects in (3+ 1) D gauge theories whose
fusion rules are the higher-dimensional analogs of those of the Kramers-Wannier defect in …

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 …

A bstract In axion-Maxwell theory at the minimal axion-photon coupling, we find non-
invertible 0-and 1-form global symmetries arising from the naive shift and center symmetries …

In gauge theory, it is commonly stated that time-reversal symmetry only exists at θ= 0 or π for
a 2 π-periodic θ angle. In this Letter, we point out that in both the free Maxwell theory and …

A bstract Non-invertible symmetries have recently been understood to provide interesting
constraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can …

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 …

Quantum Chromodynamics, the theory of quarks and gluons, whose interactions can be
described by a local SU (3) gauge symmetry with charges called “color quantum numbers” …