Examples of subfactors from conformal field theory (Q2413040)

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English	Examples of subfactors from conformal field theory	scientific article

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scholarly article

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Examples of subfactors from conformal field theory (English)

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Communications in Mathematical Physics

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publication date

6 April 2018

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full work available at URL

https://arxiv.org/abs/1608.04119

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MaRDI profile type

MaRDI publication profile

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The kernel of the modular representation and the Galois action in RCFT

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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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Composition of subfactors : new examples of infinite depth subfactors

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

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

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

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Cyclotomic integers, fusion categories, and subfactors

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Holomorphic vertex operator algebras of small central charge

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Conformal nets associated with lattices and their orbifolds

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Construction and classification of holomorphic vertex operator algebras

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Tensor Categories

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A new duality theory for compact groups

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Classification of holomorphic framed vertex operator algebras of central charge 24

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

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Orbifold subfactors from Hecke algebras. II: Quantum doubles and braiding

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Drinfeld centers of fusion categories arising from generalized Haagerup subfactors

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Braided categories of endomorphisms as invariants for local quantum field theories

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The conformal spin and statistics theorem

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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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Some unitary representations of Thompson's groups \(F\) and \(T\)

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The classification of subfactors of index at most 5

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Solitons in affine and permutation orbifolds

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Modular and conformal invariance constraints in representation theory of affine algebras

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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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Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms

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Composed inclusions of \(A_3\) and \(A_4\) subfactors

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NETS OF SUBFACTORS

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Congruence subgroups and generalized Frobenius-Schur indicators

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Level-rank duality via tensor categories

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Entropy and index for subfactors

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Quantum invariants of knots and 3-manifolds

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Meromorphic \(c=24\) conformal field theories

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Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators

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Algebraic coset conformal field theories.

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On representing some lattices as lattices of intermediate subfactors of finite index

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3-MANIFOLD INVARIANTS FROM COSETS

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New braided endomorphisms from conformal inclusions

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Some computations in the cyclic permutations of completely rational nets

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Generalized Goodman-Harpe-Jones construction of subfactors. II

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JONES-WASSERMANN SUBFACTORS FOR DISCONNECTED INTERVALS

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Algebraic orbifold conformal field theories

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An application of mirror extensions

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Mirror extensions of local nets

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Identifiers

zbMATH Open document ID

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10.1007/s00220-017-2939-1

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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:2413040

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