State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter
From MaRDI portal
Publication:1691538
DOI10.1007/JHEP04(2017)096zbMath1378.81128arXiv1605.01640MaRDI QIDQ1691538
Anton Kapustin, Lakshya Bhardwaj, Davide Gaiotto
Publication date: 23 January 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.01640
topological field theoriesdiscrete symmetriesanomalies in field and string theoriestopological states of matter
Related Items
Cochain level May-Steenrod operations ⋮ Higher-form symmetries and 3-group in axion electrodynamics ⋮ From gauge to higher gauge models of topological phases ⋮ Fermionic 6j-symbols in superfusion categories ⋮ Holomorphic SCFTs with small index ⋮ \( \mathrm{SL}(2,\mathbb{Z})\) action on QFTs with \(\mathbb{Z}_2\) symmetry and the Brown-Kervaire invariants ⋮ Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions ⋮ Stable Postnikov data of Picard 2-categories ⋮ Non-local order parameters and quantum entanglement for fermionic topological field theories ⋮ Fractional Hall conductivity and spin-c structure in solvable lattice Hamiltonians ⋮ On topology of the moduli space of gapped Hamiltonians for topological phases ⋮ Tensor network approach to electromagnetic duality in \((3+1)\)d topological gauge models ⋮ On 2-group global symmetries and their anomalies ⋮ Higher cup products on hypercubic lattices: Application to lattice models of topological phases ⋮ Matrix product states and equivariant topological field theories for bosonic symmetry-protected topological phases in (1+1) dimensions ⋮ Spin-cobordisms, surgeries and fermionic modular bootstrap ⋮ Fermion condensation and gapped domain walls in topological orders ⋮ Lectures on generalized symmetries ⋮ Duality defects in \(E_8\) ⋮ Gapped interfaces in Fracton models and foliated fields ⋮ Anomalies and bosonization ⋮ Fermionic projected entangled-pair states and topological phases ⋮ Higher-group structure in \(2n\)-dimensional axion-electrodynamics ⋮ Anomalies in (2+1)D fermionic topological phases and (3+1)D path integral state sums for fermionic SPTs ⋮ Fermionic SPT phases in higher dimensions and bosonization ⋮ Abelian topological order on lattice enriched with electromagnetic background ⋮ The moonshine anomaly ⋮ \(U(1)\) spin Chern-Simons theory and Arf invariants in two dimensions ⋮ Exploring 2-group global symmetries ⋮ Unoriented 3d tfts ⋮ On finite symmetries and their gauging in two dimensions ⋮ Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics ⋮ Orbifold groupoids ⋮ Symmetries and strings of adjoint \(\mathrm{QCD}_2\) ⋮ Domain walls in \(4d \) \(\mathcal{N} = 1\) SYM ⋮ 2-group global symmetries and anomalies in six-dimensional quantum field theories ⋮ Topological field theories and symmetry protected topological phases with fusion category symmetries ⋮ Fermion condensation and super pivotal categories ⋮ Symmetry protected topological phases and generalized cohomology ⋮ Global anomalies on the Hilbert space ⋮ Duality defect of the monster CFT
Cites Work
- Unnamed Item
- On the graded center of graded categories
- Monoidal supercategories
- Fusion categories and homotopy theory
- Anyons in an exactly solved model and beyond
- Classical and quantum conformal field theory
- Topological gauge theories and group cohomology
- On braided fusion categories. I
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Tensor categories with fusion rules of self-duality for finite abelian groups
- Generalized global symmetries
- Spin modular categories
- Fermionic symmetry protected topological phases and cobordisms
- Products of cocycles and extensions of mappings
- ON 3-DIMENSIONAL HOMOTOPY QUANTUM FIELD THEORY, I
- On the Classification of Topological Field Theories
- Higher Symmetry and Gapped Phases of Gauge Theories
- On enriching the Levin–Wen model with symmetry
- On 3-dimensional homotopy quantum field theory II: The surgery approach
- Spin TQFTs and fermionic phases of matter
- Finite group modular data
