A bstract We discuss two-dimensional conformal field theories (CFTs) which are invariant
under gauging a non-invertible global symmetry. At every point on the orbifold branch of c …

In 1992, Kennedy and Tasaki constructed a nonlocal unitary transformation that maps
between a Z 2× Z 2 spontaneously symmetry breaking phase and the Haldane gap phase …

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 …

Recent years have seen the concept of global symmetry extended to noninvertible (or
categorical) symmetries, for which the composition of symmetry generators is not necessarily …

We explore non-invertible symmetries in two-dimensional lattice models with subsystem
$\mathbb Z_2 $ symmetry. We introduce a subsystem $\mathbb Z_2 $-gauging procedure …

Two global symmetries are holoequivalent if their algebras of local symmetric operators are
isomorphic. A holoequivalent class of global symmetries is described by a topological order …

Topological holography is a holographic principle that describes the generalized global
symmetry of a local quantum system in terms of a topological order in one higher dimension …

In recent years, the systems comprising of bosonic atoms confined to optical lattices at ultra-
cold temperatures have demonstrated tremendous potential to unveil novel quantum …

Certain disorder-free Hamiltonians can be nonergodic due to a strong fragmentation of the
Hilbert space into disconnected sectors. Here, we characterize such systems by introducing …

Quantum entanglement marks a definitive feature of topological states. However, the
entanglement spectrum remains insufficiently explored for topological states without a bulk …