Defects in the 3-dimensional toric code model form a braided fusion 2-category
From MaRDI portal
Publication:2660228
DOI10.1007/JHEP12(2020)078zbMath1457.83074arXiv2009.06564OpenAlexW3112005270MaRDI QIDQ2660228
Publication date: 29 March 2021
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.06564
String and superstring theories in gravitational theory (83E30) Topological field theories in quantum mechanics (81T45) Anyons (81V27)
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Cites Work
- Models for gapped boundaries and domain walls
- Feynman-diagrammatic description of the asymptotics of the time evolution operator in quantum mechanics
- Anyons in an exactly solved model and beyond
- Anyon condensation and tensor categories
- Classical and quantum conformal field theory
- Topological gauge theories and group cohomology
- Gapped boundary theory of the twisted gauge theory model of three-dimensional topological orders
- Superselection sectors with braid group statistics and exchange algebras
- Fault-tolerant quantum computation by anyons
- Classification of topological phases with finite internal symmetries in all dimensions
- Excitations in strict 2-group higher gauge models of topological phases
- The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory
- Hamiltonian and algebraic theories of gapped boundaries in topological phases of matter
- Boundary-bulk relation in topological orders
- Topological orders and factorization homology
- SOME UNIVERSAL PROPERTIES OF LEVIN-WEN MODELS
- BRAID STATISTICS IN LOCAL QUANTUM THEORY
- A factorization homology primer
