Cluster state as a noninvertible symmetry-protected topological phase
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 …
symmetry, described by the fusion category Rep (D 8). Therefore, the cluster state is not only …
Gapped phases with non-invertible symmetries:(1+ 1) d
We propose a general framework to characterize gapped infra-red (IR) phases of theories
with non-invertible (or categorical) symmetries. In this paper we focus on (1+ 1) d gapped …
with non-invertible (or categorical) symmetries. In this paper we focus on (1+ 1) d gapped …
Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections
Modulated symmetries are internal symmetries that act in a non-uniform, spatially modulated
way and are generalizations of, for example, dipole symmetries. In this paper, we …
way and are generalizations of, for example, dipole symmetries. In this paper, we …
Some aspects of symmetry descent
IG Etxebarria, SS Hosseini - Journal of High Energy Physics, 2025 - Springer
A bstract In many cases the symmetry structure of quantum field theories can be neatly
encoded into their associated symmetry topological field theory (SymTFT), a topological field …
encoded into their associated symmetry topological field theory (SymTFT), a topological field …
Generalized tube algebras, symmetry-resolved partition functions, and twisted boundary states
Y Choi, BC Rayhaun, Y Zheng - ar**s on the lattice operators. To be specific, we define the twisted Gauss law …
Illustrating the Categorical Landau Paradigm in Lattice Models
Recent years have seen the concept of global symmetry extended to non-invertible (or
categorical) symmetries, for which composition of symmetry generators is not necessarily …
categorical) symmetries, for which composition of symmetry generators is not necessarily …
Generating Lattice Non-invertible Symmetries
Lattice non-invertible symmetries have rich fusion structures and play important roles in
understanding various exotic topological phases. In this paper, we explore methods to …
understanding various exotic topological phases. In this paper, we explore methods to …