Fusion category symmetry. I: Anomaly in-flow and gapped phases
From MaRDI portal
Publication:6555902
DOI10.1007/jhep04(2024)132MaRDI QIDQ6555902
Publication date: 14 June 2024
Published in: Journal of High Energy Physics (Search for Journal in Brave)
topological field theoriesanomalies in field and string theoriesglobal symmetriestopological states of matter
Related Items (37)
Higher-group symmetry in finite gauge theory and stabilizer codes ⋮ Symmetry fractionalization and duality defects in Maxwell theory ⋮ Non-invertible duality interfaces in field theories with exotic symmetries ⋮ Non-invertible higher-categorical symmetries ⋮ Non-invertible defects in 5D, boundaries and holography ⋮ On anomalies and gauging of \(U(1)\) non-invertible symmetries in 4d QED ⋮ Higher-form subsystem symmetry breaking: subdimensional criticality and fracton phase transitions ⋮ Unifying constructions of non-invertible symmetries ⋮ Towards non-invertible anomalies from generalized Ising models ⋮ Subsystem non-invertible symmetry operators and defects ⋮ Parity and spin CFT with boundaries and defects ⋮ Topological defect lines in two dimensional fermionic CFTs ⋮ Quantum current and holographic categorical symmetry ⋮ Generalized charges. I: Invertible symmetries and higher representations ⋮ Lieb-Schultz-Mattis anomalies as obstructions to gauging (non-on-site) symmetries ⋮ Fusion surface models: 2+1d lattice models from fusion 2-categories ⋮ Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space ⋮ Non-invertible symmetries and higher representation theory. I ⋮ Fusion category symmetry. II: Categoriosities at \(c = 1\) and beyond ⋮ Dimensionally reducing generalized symmetries from (3+1)-dimensions ⋮ Topological defects in K3 sigma models ⋮ On the symmetry TFT of Yang-Mills-Chern-Simons theory ⋮ Particle-soliton degeneracies from spontaneously broken non-invertible symmetry ⋮ Lattice realizations of topological defects in the critical (1+1)-d three-state Potts model ⋮ Non-invertible symmetries and higher representation theory. II. ⋮ Emergent generalized symmetries in ordered phases and applications to quantum disordering ⋮ Non-invertible symmetries in \(S_N\) orbifold CFTs and holography ⋮ Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation ⋮ Duality and stacking of bosonic and fermionic SPT phases ⋮ Generating lattice non-invertible symmetries ⋮ Quantum phases and transitions in spin chains with non-invertible symmetries ⋮ Building 1D lattice models with \(G\)-graded fusion category ⋮ Anomalies of non-invertible symmetries in (3+1)d ⋮ Realizing triality and \(p\)-ality by lattice twisted gauging in (1+1)d quantum spin systems ⋮ Generalized symmetries in 2D from string theory: SymTFTs, intrinsic relativeness, and anomalies of non-invertible symmetries ⋮ Category of SET orders ⋮ Non-invertible surface defects in 2+1d QFTs from half spacetime gauging
Cites Work
- Unnamed Item
- Unnamed Item
- Models for gapped boundaries and domain walls
- Fusion categories and homotopy theory
- Weakly group-theoretical and solvable fusion categories
- Topological boundary conditions in abelian Chern-Simons theory
- Topological defect lines and renormalization group flows in two dimensions
- Topological gauge theories and group cohomology
- The operator algebra of orbifold models
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Tensor categories with fusion rules of self-duality for finite abelian groups
- Representations of tensor categories with fusion rules of self-duality for abelian groups
- Anyonic chains, topological defects, and conformal field theory
- Generalized global symmetries
- Ribbon graphs and their invariants derived from quantum groups
- Module categories over graded fusion categories
- \(S\)-duality of boundary conditions in \({\mathcal N}=4\) super Yang-Mills theory
- Matrix product density operators: Renormalization fixed points and boundary theories
- Anyons and matrix product operator algebras
- Bicategories for boundary conditions and for surface defects in 3-d TFT
- Topological defects on the lattice: I. The Ising model
- Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
- MODULAR CATEGORIES AND 3-MANIFOLD INVARIANTS
- Classification of Pointed Fusion Categories of dimension 8 up to weak Morita equivalence
- Higher Symmetry and Gapped Phases of Gauge Theories
- The Witt group of non-degenerate braided fusion categories
- Tensor Categories
This page was built for publication: Fusion category symmetry. I: Anomaly in-flow and gapped phases
