Fusion surface models: 2+1d lattice models from fusion 2-categories
From MaRDI portal
Publication:6604899
DOI10.21468/SCIPOSTPHYS.16.6.143MaRDI QIDQ6604899
Kansei Inamura, Kantaro Ohmori
Publication date: 13 September 2024
Published in: SciPost Physics (Search for Journal in Brave)
Quantum field theory; related classical field theories (81Txx) Equilibrium statistical mechanics (82Bxx) Quantum theory (81-XX)
Cites Work
- Fusion category symmetry. I: Anomaly in-flow and gapped phases
- Gray categories with duals and their diagrams
- Non-invertible higher-categorical symmetries
- Codimension-2 defects and higher symmetries in (3+1)D topological phases
- Non-invertible defects in 5D, boundaries and holography
- On anomalies and gauging of \(U(1)\) non-invertible symmetries in 4d QED
- Unifying constructions of non-invertible symmetries
- Non-invertible symmetry webs
- Parity and spin CFT with boundaries and defects
- Topological defect lines in two dimensional fermionic CFTs
- Generalized charges. I: Invertible symmetries and higher representations
- Higher categorical symmetries and gauging in two-dimensional spin systems
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Orbifold completion of defect bicategories
- Quantum subgroups of the Haagerup fusion categories
- Models for gapped boundaries and domain walls
- Orbifolds and topological defects
- Monoidal supercategories
- Topological defect lines and renormalization group flows in two dimensions
- Anyons in an exactly solved model and beyond
- Lorentzian dynamics and factorization beyond rationality
- Fusion rules and modular transformations in 2D conformal field theory
- Duality and defects in rational conformal field theory
- Classical and quantum conformal field theory
- Topological gauge theories and group cohomology
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\)
- Module categories, weak Hopf algebras and modular invariants
- Fermionic 6j-symbols in superfusion categories
- Anyonic chains, topological defects, and conformal field theory
- Exploring 2-group global symmetries
- On finite symmetries and their gauging in two dimensions
- Generalized global symmetries
- TFT construction of RCFT correlators. I: Partition functions
- Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases
- Discrete torsion defects
- Orbifold groupoids
- Symmetries and strings of adjoint \(\mathrm{QCD}_2\)
- Semi-abelian gauge theories, non-invertible symmetries, and string tensions beyond \(N\)-ality
- Topological field theories and symmetry protected topological phases with fusion category symmetries
- Reflection positivity and invertible topological phases
- Construction of two-dimensional topological field theories with non-invertible symmetries
- On lattice models of gapped phases with fusion category symmetries
- Topological dualities in the Ising model
- Multifusion categories and finite semisimple 2-categories
- On the classification of topological orders
- Tetrahedral symmetry of \(6j\)-symbols in fusion categories
- Non-invertible global symmetries and completeness of the spectrum
- Reflection and time reversal symmetry enriched topological phases of matter: path integrals, non-orientable manifolds, and anomalies
- Bicategories for boundary conditions and for surface defects in 3-d TFT
- On 2-group global symmetries and their anomalies
- Orbifolds of \(n\)-dimensional defect TQFTs
- Topological operators and completeness of spectrum in discrete gauge theories
- Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly
- Non-invertible symmetries of \(\mathcal{N} = 4\) SYM and twisted compactification
- Tensor network approach to electromagnetic duality in \((3+1)\)d topological gauge models
- Ising-like and Fibonacci anyons from KZ-equations
- Duality defects in \(E_8\)
- Generalized symmetry breaking scales and weak gravity conjectures
- On continuous 2-category symmetries and Yang-Mills theory
- Rigid and separable algebras in fusion 2-categories
- Mixed anomalies, two-groups, non-invertible symmetries, and 3d superconformal indices
- Anomalies in (2+1)D fermionic topological phases and (3+1)D path integral state sums for fermionic SPTs
- Gauging noninvertible defects: a 2-categorical perspective
- Topological lattice models in four dimensions
- Topological defects on the lattice. I: The Ising model.
- A quick guide to defect orbifolds
- Field theories with defects and the centre functor
- Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
- Sheaves of categories and the notion of 1-affineness
- Categorical symmetries at criticality
- Non-invertible topological defects in 4-dimensional $\mathbb {Z}_2$ pure lattice gauge theory
- State-Sum Invariants of 4-Manifolds
- Higher Symmetry and Gapped Phases of Gauge Theories
- Invariants of piecewise-linear 3-manifolds
- Orbifolds of Reshetikhin-Turaev TQFTs
- Spin from defects in two-dimensional quantum field theory
- On enriching the Levin–Wen model with symmetry
- Tensor Categories
- TQFT’S FROM HOMOTOPY 2-TYPES
- Topological defects for the free boson CFT
- Duality defect of the monster CFT
- Topological field theory with Haagerup symmetry
- Generalised twisted partition functions
- On triality defects in 2d CFT
- Minimal nondegenerate extensions
- Branes and symmetries for \(\mathcal{N} = 3\) S-folds
- Generalized chiral instabilities, linking numbers, and non-invertible symmetries
- Non-invertible Gauss law and axions
- A Goldstone theorem for continuous non-invertible symmetries
- On the 6d origin of non-invertible symmetries in 4d
- Fermionization of fusion category symmetries in 1+1 dimensions
- Comments on non-invertible symmetries in Argyres-Douglas theories
- Symmetry TFTs and anomalies of non-invertible symmetries
- Symmetry TFTs for non-invertible defects
- Decomposition, Condensation Defects, and Fusion
- Universal Non‐Invertible Symmetries
- Branes and Non‐Invertible Symmetries
- The Branes Behind Generalized Symmetry Operators
- Asymptotic density of states in 2d CFTs with non-invertible symmetries
- Non-invertible symmetries of class S theories
- Non-invertible symmetries from discrete gauging and completeness of the spectrum
- Non-invertible symmetries in supergravity
- Higher gauging and non-invertible condensation defects
- Non-invertible condensation, duality, and triality defects in 3+1 dimensions
- Symmetry TFTs from string theory
- Exploring non-invertible symmetries in free theories
- Continuous generalized symmetries in three dimensions
- State sum models with defects based on spherical fusion categories
- ``Zoology of non-invertible duality defects: the view from class \(\mathcal{S}\)
Related Items (6)
Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space ⋮ Aspects of categorical symmetries from branes: SymTFTs and generalized charges ⋮ Remarks on geometric engineering, symmetry TFTs and anomalies ⋮ Lattice realizations of topological defects in the critical (1+1)-d three-state Potts model ⋮ Emergent generalized symmetries in ordered phases and applications to quantum disordering ⋮ Non-invertible surface defects in 2+1d QFTs from half spacetime gauging
This page was built for publication: Fusion surface models: 2+1d lattice models from fusion 2-categories
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6604899)