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 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 …

A bstract Topological/perfectly-transmissive defects play a fundamental role in the analysis
of the symmetries of two dimensional conformal field theories (CFTs). In the present work …

We study the symmetries of closed Majorana chains in 1+ 1d, including the translation,
fermion parity, spatial parity, and time-reversal symmetries. The algebra of the symmetry …

Results are presented for a Floquet Ising chain with duality twisted boundary conditions,
taking into account the role of weak integrability breaking in the form of four-fermion …

Physical quantities with long lifetimes have both theoretical significance in the study of
quantum many-body systems and practical implications for quantum technologies. In this …

Experimental investigation of the interplay of dualities, generalized symmetries, and
topological defects is an important challenge in condensed matter physics and quantum …

Tensor networks provide a natural language for non-invertible symmetries in general
Hamiltonian lattice models. We use ZX-diagrams, which are tensor network presentations of …

We propose and analyze a deformation of the 3+ 1d lattice $\mathbb Z_2 $ gauge theory
that preserves the non-invertible Wegner duality symmetry at the self-dual point. We identify …