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 We present a class of three-dimensional quantum field theories whose ordinary
global symmetries mix with higher-form symmetries to form a continuous 2-group. All these …

The recent “honeycomb code” is a fault-tolerant quantum memory defined by a sequence of
checks, which implements a nontrivial automorphism of the toric code. We argue that a …

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) …

Weyl medium has triggered remarkable interest owing to its nontrivial topological edge
states in 3D photonic band structures that were mainly revealed as surface modes yet. It is …

In gauge theories with fundamental matter there is typically no sharp way to distinguish
confining and Higgs regimes, eg using generalized global symmetries acting on loop order …

Topology in quantum matter is typically associated with gapped phases. For example, in
symmetry protected topological (SPT) phases, the bulk energy gap localizes edge modes …

It is well-known that symmetry-protected topological (SPT) phases can be obtained from the
trivial phase by an entangler, a finite-depth unitary operator $ U $. Here, we consider …

A bstract This work investigates the gapped interfaces of 3+ 1d fracton phases of matter
using foliated gauge theories and lattice models. We analyze the gapped boundaries and …

Nonlinear sigma models appear in a wide variety of physics contexts, such as the long-
range order with spontaneously broken continuous global symmetries. There are also large …