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 …

We study generalized symmetries of quantum field theories in 1+ 1D generated by
topological defect lines with no inverse. This paper follows our companion paper on gapped …

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 discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …

We explore constraints on (1+ 1) d unitary conformal field theory with an internal ZN global
symmetry, by bounding the lightest symmetry-preserving scalar primary operator using the …

Despite great successes in the study of gapped phases, a comprehensive understanding of
the gapless phases and their transitions is still under development. In this paper, we study a …

We study the implications of the't Hooft anomaly (ie, obstruction to gauging) on conformal
field theory, focusing on the case when the global symmetry is Z 2. Using the modular …

We discuss the SU (3)/[U (1)× U (1)] nonlinear sigma model in 1+ 1D and, more broadly, its
linearized counterparts. Such theories can be expressed as U (1)× U (1) gauge theories and …

A bstract We study global anomalies of discrete gauge symmetries in six-dimensional
supergravities and their realizations in F-theory. We explicitly construct a discrete Green …

In this paper, we develop a systematic way to characterize the't Hooft anomaly in open
quantum systems. Owing to nontrivial couplings to the environment, symmetries in such …