Non-invertible symmetries and higher representation theory I
T Bartsch, M Bullimore, AEV Ferrari, J Pearson - SciPost Physics, 2024 - scipost.org
The purpose of this paper is to investigate the global categorical symmetries that arise when
gauging finite higher groups in three or more dimensions. The motivation is to provide a …
gauging finite higher groups in three or more dimensions. The motivation is to provide a …
Fusion surface models: 2+ 1d lattice models from fusion 2-categories
Abstract We construct (2+ 1)-dimensional lattice systems, which we call fusion surface
models. These models have finite non-invertible symmetries described by general fusion 2 …
models. These models have finite non-invertible symmetries described by general fusion 2 …
Triangular lattice quantum dimer model with variable dimer density
Quantum dimer models are known to host topological quantum spin liquid phases, and it
has recently become possible to simulate such models with Rydberg atoms trapped in …
has recently become possible to simulate such models with Rydberg atoms trapped in …
Classification of D invertible fermionic topological phases with symmetry
We provide a classification of invertible topological phases of interacting fermions with
symmetry in two spatial dimensions for general fermionic symmetry groups G f and general …
symmetry in two spatial dimensions for general fermionic symmetry groups G f and general …
Global anomalies on the Hilbert space
D Delmastro, D Gaiotto, J Gomis - Journal of High Energy Physics, 2021 - Springer
A bstract We show that certain global anomalies can be detected in an elementary fashion
by analyzing the way the symmetry algebra is realized on the torus Hilbert space of the …
by analyzing the way the symmetry algebra is realized on the torus Hilbert space of the …
Classification of symmetry-enriched topological quantum spin liquids
We present a systematic framework to classify symmetry-enriched topological quantum spin
liquids in two spatial dimensions. This framework can deal with all topological quantum spin …
liquids in two spatial dimensions. This framework can deal with all topological quantum spin …
Non-invertible symmetry-protected topological order in a group-based cluster state
Despite growing interest in beyond-group symmetries in quantum condensed matter
systems, there are relatively few microscopic lattice models explicitly realizing these …
systems, there are relatively few microscopic lattice models explicitly realizing these …
Classification of topological phases with finite internal symmetries in all dimensions
A bstract We develop a mathematical theory of symmetry protected trivial (SPT) orders and
anomaly-free symmetry enriched topological (SET) orders in all dimensions via two different …
anomaly-free symmetry enriched topological (SET) orders in all dimensions via two different …
Fermionic symmetry fractionalization in dimensions
D Bulmash, M Barkeshli - Physical Review B, 2022 - APS
We develop a systematic theory of symmetry fractionalization for fermionic topological
phases of matter in (2+ 1) D with a general fermionic symmetry group G f. In general, G f is a …
phases of matter in (2+ 1) D with a general fermionic symmetry group G f. In general, G f is a …