There are two prominent applications of the mathematical concept of topology to the physics
of materials: band topology, which classifies different topological insulators and semimetals …

We concisely review the recent evolution in the study of parafermions—exotic emergent
excitations that generalize Majorana fermions and similarly underpin a host of novel …

Non-Abelian topological order is a coveted state of matter with remarkable properties,
including quasiparticles that can remember the sequence in which they are exchanged …

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

We examine the interplay of symmetry and topological order in 2+ 1-dimensional topological
quantum phases of matter. We present a precise definition of the topological symmetry …

Non-Abelian anyons promise to reveal spectacular features of quantum mechanics that
could ultimately provide the foundation for a decoherence-free quantum computer. A key …

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) …

A large class of gapped phases of matter can be described by topological finite group gauge
theories. In this paper, we show how such gauge theories possess a higher-group global …

The most well-known mechanism for fermions to acquire a mass is the Nambu–Goldstone–
Anderson–Higgs mechanism, ie, after a spontaneous symmetry breaking, a bosonic field …

Instead of studying anyon condensation in various concrete models, we take a bootstrap
approach by considering an abstract situation, in which an anyon condensation happens in …