Generalized orbifold construction for conformal nets (Q2958463)

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Language	Label	Description	Also known as
English	Generalized orbifold construction for conformal nets	scientific article

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scholarly article

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Generalized orbifold construction for conformal nets (English)

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Marcel Bischoff

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Reviews in Mathematical Physics

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publication date

2 February 2017

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full work available at URL

https://arxiv.org/abs/1608.00253

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zbMATH Keywords

orbifold

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conformal net

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hypergroup

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MaRDI profile type

MaRDI publication profile

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Conditional expectations in von Neumann algebras and a theorem of Takesaki

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Fixed points of quantum operations

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Modular invariants from subfactors: type I coupling matrices and intermediate subfactors

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Modular invariants, graphs and \(\alpha\)-induction for nets of subfactors. I

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Modular invariants, graphs and \(\alpha\)-induction for nets of subfactors. III

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Chiral structure of modular invariants for subfactors

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Longo-Rehren subfactors arising from \(\alpha\)-induction.

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On \(\alpha\)-induction, chiral generators and modular invariants for subfactors

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Modular structure and duality in conformal quantum field theory

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Harmonic analysis of probability measures on hypergroups

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Composition of subfactors : new examples of infinite depth subfactors

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Models in boundary quantum field theory associated with lattices and loop group models

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The Relation between Subfactors arising from Conformal Nets and the Realization of Quantum Doubles

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A remark on CFT realization of quantum doubles of subfactors: case index \(<4\)

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Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case

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Tensor Categories and Endomorphisms of von Neumann Algebras

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Phase boundaries in algebraic conformal QFT

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On the representation theory of Virasoro nets

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Absence of subsystems for the Haag-Kastler net generated by the energy-momentum tensor in two-dimensional conformal field theory

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A Schwarz inequality for positive linear maps on C\(^*\)-algebras

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Une classification des facteurs de type ${\rm III}$

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On quantum Galois theory

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The Witt group of non-degenerate braided fusion categories

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On the structure of the Witt group of braided fusion categories

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Endomorphisms of \(C^*\)-algebras, cross products and duality for compact groups

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A new duality theory for compact groups

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Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics

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The exoticness and realisability of twisted Haagerup--Izumi modular data

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Near-group fusion categories and their doubles

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Tensor Categories

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Fusion categories and homotopy theory

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Spectral measures for \(G_2\)

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Conformal Haag-Kastler nets, pointlike localized fields and the existence of operator product expansions

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TFT construction of RCFT correlators. III: Simple currents

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Superselection sectors with braid group statistics and exchange algebras

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Operator algebras and conformal field theory

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Relativistic invariance and charge conjugation in quantum field theory

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Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)

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Braided tensor categories and extensions of vertex operator algebras

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Amenable tensor categories and their realizations as AFD bimodules

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A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras

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The structure of sectors associated with Longo-Rehren inclusions. I: General theory

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THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES

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A Cuntz algebra approach to the classification of near-group categories

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Application of fusion rules to classification of subfactors

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The classification of subfactors of index at most 5

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Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor

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A generalized Schwarz inequality and algebraic invariants for operator algebras

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Generalized Longo-Rehren subfactors and \(\alpha\)-induction

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Classification of local conformal nets. Case \(c < 1\)

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Multi-interval subfactors and modularity of representations in conformal field theory

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On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories

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Conformal subnets and intermediate subfactors

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Notes on algebraic invariants for non-commutative dynamical systems

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Index of subfactors and statistics of quantum fields. I

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A duality for Hopf algebras and for subfactors. I

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NETS OF SUBFACTORS

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A theory of dimension

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From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories

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From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors

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On the Structure of Modular Categories

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Conformal orbifold theories and braided crossed \(G\)-categories

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On Superselection Theory of Quantum Fields in Low Dimensions

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Fusion categories of rank 2

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Inner Product Modules Over B ∗ -Algebras

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Canonical tensor product subfactors

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A new view of the Virasoro algebra

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II 1 Factors, Their Bimodules and Hypergroups

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Actions of finite hypergroups.

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Theory of operator algebras. II

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Conditional expectations in von Neumann algebras

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Tensor categories with fusion rules of self-duality for finite abelian groups

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Index for 𝐶*-subalgebras

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Duality and Entropy for Finite Commutative Hypergroups and Fusion Rule Algebras

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Algebraic orbifold conformal field theories

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Strong additivity and conformal nets

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On intermediate conformal nets

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New braided endomorphisms from conformal inclusions

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Identifiers

zbMATH Open document ID

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10.1142/S0129055X17500027

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2958463

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