Two-dimensional topological order and operator algebras
DOI10.1142/S0217979221300036zbMath1462.81001arXiv2102.10953OpenAlexW3133290800MaRDI QIDQ4994881
Publication date: 22 June 2021
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.10953
condensationsubfactoroperator algebratensor categoryfusion categorytopological phaseanyontopological ordermatrix product operatorgapped domain wall
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Axiomatic quantum field theory; operator algebras (81T05) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case
- Anyons in an exactly solved model and beyond
- Unphysical diagonal modular invariants
- Index of subfactors and statistics of quantum fields. II: Correspondences, braid group statistics and Jones polynomial
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
- Etiology of IRF models
- Finitely correlated states on quantum spin chains
- Two subfactors arising from a non-degenerate commuting square. An answer to a question raised by V. F. R. Jones
- Classification of two-dimensional local conformal nets with \(c<1\) and 2-cohomology vanishing for tensor categories
- Canonical tensor product subfactors
- The structure of sectors associated with Longo-Rehren inclusions. I: General theory
- A relative tensor product of subfactors over a modular tensor category
- Classification of local conformal nets. Case \(c < 1\)
- Index of subfactors and statistics of quantum fields. I
- Superselection sectors with braid group statistics and exchange algebras
- Index for subfactors
- On flatness of Ocneanu's connections of the Dynkin diagrams and classification of subfactors
- Classification of amenable subfactors of type II
- Symmetric enveloping algebras amenability and AFD properties for subfactors
- On \(\alpha\)-induction, chiral generators and modular invariants for subfactors
- Chiral structure of modular invariants for subfactors
- A remark on matrix product operator algebras, anyons and subfactors
- A \(\mathbb{Z}_2\)-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains
- A remark on gapped domain walls between topological phases
- On fusion categories.
- On Superselection Theory of Quantum Fields in Low Dimensions
- VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE
- RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES
- A polynomial invariant for knots via von Neumann algebras
- From Vertex Operator Algebras to Conformal Nets and Back
- ON OCNEANU'S THEORY OF ASYMPTOTIC INCLUSIONS FOR SUBFACTORS, TOPOLOGICAL QUANTUM FIELD THEORIES AND QUANTUM DOUBLES
- NETS OF SUBFACTORS
- CONFORMAL FIELD THEORY, VERTEX OPERATOR ALGEBRAS AND OPERATOR ALGEBRAS
- Tensor Categories and Endomorphisms of von Neumann Algebras
- SUPERSELECTION SECTORS WITH BRAID GROUP STATISTICS AND EXCHANGE ALGEBRAS II: GEOMETRIC ASPECTS AND CONFORMAL COVARIANCE
- Longo-Rehren subfactors arising from \(\alpha\)-induction.
- Multi-interval subfactors and modularity of representations in conformal field theory
This page was built for publication: Two-dimensional topological order and operator algebras