Background: Open Access Editor's Choice Review Symmetric Mass Generation by Juven
Wang 1 and Yi-Zhuang You 2,* 1 Center of Mathematical Sciences and Applications …

We survey recent developments in a novel kind of generalized global symmetry, the non-
invertible symmetry, in diverse spacetime dimensions. We start with several different but …

We introduce a definition and framework for internal topological symmetries in quantum field
theory, including “noninvertible symmetries” and “categorical symmetries”. We outline a …

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

Long-range entanglement—the backbone of topologically ordered states—cannot be
created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …

We present a general approach for detecting when a fusion category symmetry is
anomalous, based on the existence of a special kind of Lagrangian algebra of the …

What does it mean for a boundary condition to be symmetric with respect to a noninvertible
global symmetry? We discuss two possible definitions in 1+ 1 D QFTs and lattice models. On …

We study anomalies of non-invertible duality symmetries in both 2d and 4d, employing the
tool of the Symmetry TFT. In the 2d case we rephrase the known obstruction theory for the …

We propose a general framework for studying two-dimensional (2D) topologically ordered
states subject to local correlated errors and show that the resulting mixed state can display …

A bstract We study generalized discrete symmetries of quantum field theories in 1+ 1D
generated by topological defect lines with no inverse. In particular, we describe't Hooft …