Generalized orbifold construction for conformal nets
From MaRDI portal
Publication:2958463
DOI10.1142/S0129055X17500027zbMath1364.81213arXiv1608.00253OpenAlexW2496297807MaRDI QIDQ2958463
Publication date: 2 February 2017
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.00253
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Operator spaces and completely bounded maps (46L07) Subfactors and their classification (46L37) Operator algebra methods applied to problems in quantum theory (81R15) Hypergroups (20N20) Topology and geometry of orbifolds (57R18)
Related Items (11)
Galois correspondence and Fourier analysis on local discrete subfactors ⋮ Lorentzian 2D CFT from the pAQFT perspective ⋮ Quantum operations on conformal nets ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Duality defects in \(E_8\) ⋮ Infinite index extensions of local nets and defects ⋮ Unnamed Item ⋮ Compact hypergroups from discrete subfactors ⋮ Hopf algebra actions in tensor categories ⋮ Computing fusion rules for spherical \(G\)-extensions of fusion categories ⋮ Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A remark on CFT realization of quantum doubles of subfactors: case index \(<4\)
- Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case
- A new duality theory for compact groups
- Fusion categories and homotopy theory
- The exoticness and realisability of twisted Haagerup--Izumi modular data
- On quantum Galois theory
- Models in boundary quantum field theory associated with lattices and loop group models
- Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
- TFT construction of RCFT correlators. III: Simple currents
- Endomorphisms of \(C^*\)-algebras, cross products and duality for compact groups
- Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
- Notes on algebraic invariants for non-commutative dynamical systems
- Conditional expectations in von Neumann algebras and a theorem of Takesaki
- Application of fusion rules to classification of subfactors
- Harmonic analysis of probability measures on hypergroups
- Relativistic invariance and charge conjugation in quantum field theory
- A Schwarz inequality for positive linear maps on C\(^*\)-algebras
- Absence of subsystems for the Haag-Kastler net generated by the energy-momentum tensor in two-dimensional conformal field theory
- A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
- New braided endomorphisms from conformal inclusions
- Tensor categories with fusion rules of self-duality for finite abelian groups
- Modular invariants, graphs and \(\alpha\)-induction for nets of subfactors. I
- Operator algebras and conformal field theory
- Modular structure and duality in conformal quantum field theory
- A duality for Hopf algebras and for subfactors. I
- A new view of the Virasoro algebra
- A theory of dimension
- Actions of finite hypergroups.
- Conformal subnets and intermediate subfactors
- On the representation theory of Virasoro nets
- Fusion categories of rank 2
- Canonical tensor product subfactors
- The structure of sectors associated with Longo-Rehren inclusions. I: General theory
- Modular invariants from subfactors: type I coupling matrices and intermediate subfactors
- Generalized Longo-Rehren subfactors and \(\alpha\)-induction
- Classification of local conformal nets. Case \(c < 1\)
- Modular invariants, graphs and \(\alpha\)-induction for nets of subfactors. III
- Index of subfactors and statistics of quantum fields. I
- Superselection sectors with braid group statistics and exchange algebras
- Theory of operator algebras. II
- On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
- 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
- Conformal Haag-Kastler nets, pointlike localized fields and the existence of operator product expansions
- On the structure of the Witt group of braided fusion categories
- On \(\alpha\)-induction, chiral generators and modular invariants for subfactors
- Chiral structure of modular invariants for subfactors
- Amenable tensor categories and their realizations as AFD bimodules
- Braided tensor categories and extensions of vertex operator algebras
- Spectral measures for \(G_2\)
- Near-group fusion categories and their doubles
- Conformal orbifold theories and braided crossed \(G\)-categories
- Strong additivity and conformal nets
- On intermediate conformal nets
- Conditional expectations in von Neumann algebras
- A generalized Schwarz inequality and algebraic invariants for operator algebras
- On Superselection Theory of Quantum Fields in Low Dimensions
- Index for 𝐶*-subalgebras
- Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor
- II 1 Factors, Their Bimodules and Hypergroups
- THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES
- On the Structure of Modular Categories
- Algebraic orbifold conformal field theories
- The Relation between Subfactors arising from Conformal Nets and the Realization of Quantum Doubles
- A Cuntz algebra approach to the classification of near-group categories
- Duality and Entropy for Finite Commutative Hypergroups and Fusion Rule Algebras
- Fixed points of quantum operations
- NETS OF SUBFACTORS
- Composition of subfactors : new examples of infinite depth subfactors
- The Witt group of non-degenerate braided fusion categories
- Tensor Categories and Endomorphisms of von Neumann Algebras
- Une classification des facteurs de type ${\rm III}$
- Tensor Categories
- The classification of subfactors of index at most 5
- Inner Product Modules Over B ∗ -Algebras
- Longo-Rehren subfactors arising from \(\alpha\)-induction.
- Multi-interval subfactors and modularity of representations in conformal field theory
- Phase boundaries in algebraic conformal QFT
This page was built for publication: Generalized orbifold construction for conformal nets
