Theory of twist liquids: Gauging an anyonic symmetry

DOI10.1016/j.aop.2015.05.012zbMath1360.81242arXiv1503.06812OpenAlexW1481272418WikidataQ60432785 ScholiaQ60432785MaRDI QIDQ527738

Eduardo Fradkin, Taylor L. Hughes, Jeffrey C. Y. Teo

Publication date: 12 May 2017

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06812

zbMATH Keywords

topological field theoryanyontopological phases of matter

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Topological field theories in quantum mechanics (81T45)

Related Items

A recipe for constructing frustration-free Hamiltonians with gauge and matter fields in one and two dimensions, Hamiltonian models for topological phases of matter in three spatial dimensions, Anyonic chains, topological defects, and conformal field theory, On triality defects in 2d CFT, On 2-group global symmetries and their anomalies, A bilayer double semion model with symmetry-enriched topological order, Symmetry TFTs for non-invertible defects, Ground state degeneracy on torus in a family of ZN toric code, Non-invertible symmetries of class S theories, Symmetry-enriched quantum spin liquids in \((3 + 1)d\), Relationship between symmetry protected topological phases and boundary conformal field theories via the entanglement spectrum, Symmetry fractionalization and twist defects

Cites Work

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• Models for gapped boundaries and domain walls
• Fusion categories and homotopy theory
• Anyons in an exactly solved model and beyond
• The breaking of quantum double symmetries by defect condensation
• Classical and quantum conformal field theory
• Introduction to conformal field theory. With applications to string theory
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• The operator algebra of orbifold models
• A class of \(P,T\)-invariant topological phases of interacting electrons
• Topological order and conformal quantum critical points
• Fault-tolerant quantum computation by anyons
• From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
• From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
• Superconductors are topologically ordered
• SOME CORRELATORS OF SU(3)₃ WZW MODELS ON HIGHER-GENUS RIEMANN SURFACES
• SOME UNIVERSAL PROPERTIES OF LEVIN-WEN MODELS
• Non-Abelian anyons and topological quantum computation
• Preface to the second edition
• BRAID STATISTICS IN LOCAL QUANTUM THEORY
• Quantum Field Theory in Condensed Matter Physics
• Clifford gates by code deformation
• SUPERSELECTION SECTORS WITH BRAID GROUP STATISTICS AND EXCHANGE ALGEBRAS II: GEOMETRIC ASPECTS AND CONFORMAL COVARIANCE
• Bound Fermion states on a vortex line in a type II superconductor
• Quantum invariants of knots and 3-manifolds
• Quantum groups and non-Abelian braiding in quantum Hall systems