Generalized Symmetries in Condensed Matter | Annual Reviews Menu Publications AZ Journal
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The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

We identify infinitely many noninvertible generalized global symmetries in QED and QCD for
the real world in the massless limit. In QED, while there is no conserved Noether current for …

We discuss invertible and non-invertible topological condensation defects arising from
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …

For any quantum system invariant under gauging a higher-form global symmetry, we
construct a noninvertible topological defect by gauging in only half of the spacetime. This …

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 …

We discuss a variety of codimension-one, non-invertible topological defects in general 3+ 1d
QFTs with a discrete one-form global symmetry. These include condensation defects from …

We show that the standard 1+ 1 DZ 2× Z 2 cluster model has a noninvertible global
symmetry, described by the fusion category Rep (D 8). Therefore, the cluster state is not only …

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 …