On lattice models of gapped phases with fusion category symmetries
type: Item
instance of: scholarly article
title: On lattice models of gapped phases with fusion category symmetries
DOI: 10.1007/JHEP03(2022)036
author: Kansei Inamura
published in: Journal of High Energy Physics
publication date: 2022-10-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/2110.12882
Mathematics Subject Classification ID: 81-XX
zbMATH DE Number: 7609878
zbMATH Keywords: discrete symmetries
zbMATH Keywords: global symmetries
zbMATH Keywords: lattice quantum field theory
zbMATH Keywords: topological field theories
MaRDI profile type: Publication
OpenAlex ID: W3210004857
cites work: Generalized global symmetries
cites work: Topological operators and completeness of spectrum in discrete gauge theories
cites work: Non-invertible global symmetries and completeness of the spectrum
cites work: Defects in the 3-dimensional toric code model form a braided fusion 2-category
cites work: Non-invertible topological defects in 4-dimensional $\mathbb {Z}_2$ pure lattice gauge theory
cites work: Orbifolds and topological defects
cites work: A quick guide to defect orbifolds
cites work: Discrete torsion defects
cites work: Orbifold completion of defect bicategories
cites work: On finite symmetries and their gauging in two dimensions
cites work: Topological defect lines and renormalization group flows in two dimensions
cites work: Duality defect of the monster CFT
cites work: Symmetries and strings of adjoint \(\mathrm{QCD}_2\)
cites work: Lorentzian dynamics and factorization beyond rationality
cites work: Topological field theories and symmetry protected topological phases with fusion category symmetries
cites work: Construction of two-dimensional topological field theories with non-invertible symmetries
cites work: Topological defects on the lattice. I: The Ising model.
cites work: Anyonic chains, topological defects, and conformal field theory
cites work: Semi-abelian gauge theories, non-invertible symmetries, and string tensions beyond \(N\)-ality
cites work: 3-dimensional defect TQFTs and their tricategories
cites work: Line and surface defects in Reshetikhin-Turaev TQFT
cites work: Orbifolds of \(n\)-dimensional defect TQFTs
cites work: Orbifolds of Reshetikhin-Turaev TQFTs
cites work: Feynman-diagrammatic description of the asymptotics of the time evolution operator in quantum mechanics
cites work: Topological Field Theory, Higher Categories, and Their Applications
cites work: Statistics of the Two-Dimensional Ferromagnet. Part I
cites work: Algebras in tensor categories and coset conformal field theories
cites work: Tensor categories with fusion rules of self-duality for finite abelian groups
cites work: Fusion rules and modular transformations in 2D conformal field theory
cites work: Topological defects for the free boson CFT
cites work: Generalised twisted partition functions
cites work: Duality and defects in rational conformal field theory
cites work: TFT construction of RCFT correlators. I: Partition functions
cites work: TFT construction of RCFT correlators. II: Unoriented world sheets
cites work: TFT construction of RCFT correlators. III: Simple currents
cites work: TFT construction of RCFT correlators. IV: Structure constants and correlation functions
cites work: Q3411950
cites work: On module categories over finite-dimensional Hopf algebras.
cites work: Intrinsic Characterizations of Some Additive Functors
cites work: Lattice topological field theory in two dimensions
cites work: Projectivity and freeness over comodule algebras
cites work: Hamiltonian models for topological phases of matter in three spatial dimensions
cites work: STATE SUM CONSTRUCTION OF TWO-DIMENSIONAL OPEN-CLOSED TOPOLOGICAL QUANTUM FIELD THEORIES
cites work: Field theories with defects and the centre functor
cites work: Tensor Categories
cites work: On Frobenius algebras in rigid monoidal categories
cites work: Q4274976
cites work: Representation theory of semisimple Hopf algebras
cites work: Q4703398
cites work: HOPF IMAGES AND INNER FAITHFUL REPRESENTATIONS
cites work: Q4660483
cites work: Module categories, weak Hopf algebras and modular invariants
cites work: Stabilizer for hopf algebra actions
cites work: Matrix product states and equivariant topological field theories for bosonic symmetry-protected topological phases in (1+1) dimensions
cites work: Symmetries in quantum field theory and quantum gravity
cites work: Modular invariance and discrete torsion on orbifolds
cites work: Topological gauge theories and group cohomology
cites work: Equivariant topological quantum field theory and symmetry protected topological phases
cites work: Invariants of knots and 3-manifolds from quantum groupoids
cites work: Semisimple weak Hopf algebras.
cites work: Module categories over quasi-Hopf algebras and weak Hopf algebras and the projectivity of Hopf modules
description: scientific article; zbMATH DE number 7609878