Subfactors and mathematical physics (Q6051684)

scientific article; zbMATH DE number 7740542

Language	Label	Description	Also known as
English	Subfactors and mathematical physics	scientific article; zbMATH DE number 7740542

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instance of

scholarly article

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title

Subfactors and mathematical physics (English)

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Bulletin of the American Mathematical Society

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publication date

20 September 2023

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full work available at URL

https://arxiv.org/abs/2303.04459

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zbMATH Keywords

braiding

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conformal field theory

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fusion category

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statistical mechanics

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subfactors

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Temperley-Lieb algebra

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vertex operator algebra

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MaRDI profile type

MaRDI publication profile

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cites work

Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

0 references

Realizing the braided Temperley-Lieb-Jones C*-tensor categories as Hilbert C*-modules

0 references

On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model

0 references

Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\)

0 references

Topological quantum field theories

0 references

Q3056951

0 references

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

0 references

Modular invariants. Graphs and \(\alpha\)-induction for nets of subfactors. II

0 references

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

0 references

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

0 references

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

0 references

Chiral structure of modular invariants for subfactors

0 references

Monstrous moonshine and monstrous Lie superalgebras

0 references

Pythagorean representations of Thompson's groups

0 references

On the Haagerup and Kazhdan properties of R. Thompson's groups

0 references

The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories

0 references

Operator content of two-dimensional conformally invariant theories

0 references

Haploid algebras in \(C^*\)-tensor categories and the Schellekens list

0 references

From Vertex Operator Algebras to Conformal Nets and Back

0 references

Outer conjugacy classes of automorphisms of factors

0 references

Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)

0 references

Q4310044

0 references

Property T for von Neumann Algebras

0 references

Entropy for automorphisms of \(II_1\) von Neumann algebras

0 references

Monstrous Moonshine

0 references

Conformal nets associated with lattices and their orbifolds

0 references

A new duality theory for compact groups

0 references

Auto-equivalences of the modular tensor categories of type \(A, B, C\) and \(G\)

0 references

Q3424686

0 references

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

0 references

Modular invariants and twisted equivariant \(K\)-theory

0 references

Modular Invariants and Twisted Equivariant <i>K</i>-theory II: Dynkin diagram symmetries

0 references

Non-unitary fusion categories and their doubles via endomorphisms

0 references

Reconstruction and local extensions for twisted group doubles, and permutation orbifolds

0 references

Tambara-Yamagami, loop groups, bundles and KK-theory

0 references

Q4389328

0 references

SU(3)-GOODMAN–DE LA HARPE–JONES SUBFACTORS AND THE REALIZATION OF SU(3) MODULAR INVARIANTS

0 references

Classification of module categories for \(SO (3)_{2m} \)

0 references

Superselection sectors with braid group statistics and exchange algebras

0 references

SUPERSELECTION SECTORS WITH BRAID GROUP STATISTICS AND EXCHANGE ALGEBRAS II: GEOMETRIC ASPECTS AND CONFORMAL COVARIANCE

0 references

Loop groups and twisted <i>K</i> -theory I

0 references

Topological quantum computation

0 references

Q3994993

0 references

Vertex operator algebras associated to representations of affine and Virasoro algebras

0 references

Details of the non-unitary proof for highest weight representations of the Virasoro algebra

0 references

BRAID STATISTICS IN LOCAL QUANTUM THEORY

0 references

The classification of affine \(SU(3)\) modular invariant partition functions

0 references

Unitary representations of the Virasoro and super-Virasoro algebras

0 references

Q4693152

0 references

The conformal spin and statistics theorem

0 references

Random matrices, free probability, planar algebras and subfactors

0 references

A semi-finite algebra associated to a subfactor planar algebra

0 references

Loop models, random matrices and planar algebras

0 references

Braided tensor categories and extensions of vertex operator algebras

0 references

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

0 references

A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation

0 references

Solvable lattice models whose states are dominant integral weights of \(A^{(1)}_{n-1}\)

0 references

Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor

0 references

Index for subfactors

0 references

A polynomial invariant for knots via von Neumann algebras

0 references

Hecke algebra representations of braid groups and link polynomials

0 references

On knot invariants related to some statistical mechanical models

0 references

BAXTERIZATION

0 references

Q4002494

0 references

Q5428036

0 references

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

0 references

A no-go theorem for the continuum limit of a periodic quantum spin chain

0 references

Scale invariant transfer matrices and Hamiltionians

0 references

On the construction of knots and links from Thompson's groups

0 references

Planar algebras

0 references

The classification of subfactors of index at most 5

0 references

State models and the Jones polynomial

0 references

Topological Quantum Information, Khovanov Homology and the Jones Polynomial

0 references

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

0 references

Local conformal nets arising from framed vertex operator algebras

0 references

\((2+1)\)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants

0 references

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

0 references

Index of subfactors and statistics of quantum fields. I

0 references

Index of subfactors and statistics of quantum fields. II: Correspondences, braid group statistics and Jones polynomial

0 references

A duality for Hopf algebras and for subfactors. I

0 references

NETS OF SUBFACTORS

0 references

Conformal covariance and the split property

0 references

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

0 references

Q3472677

0 references

Q5301205

0 references

Module categories, weak Hopf algebras and modular invariants

0 references

A PLANAR ALGEBRA CONSTRUCTION OF THE HAAGERUP SUBFACTOR

0 references

Entropy and index for subfactors

0 references

Markov traces on universal Jones algebras and subfactors of finite index

0 references

Classification of amenable subfactors of type II

0 references

Symmetric enveloping algebras amenability and AFD properties for subfactors

0 references

An axiomatization of the lattice of higher relative commutants of a subfactor

0 references

Q4215401

0 references

Some properties of the symmetric enveloping algebra of a subfactor, with applications to amenability and property \(T\)

0 references

Universal properties of \(L(\mathbb{F}_ \infty)\) in subfactor theory.

0 references

Unitary vertex algebras and Wightman conformal field theories

0 references

Invariants of 3-manifolds via link polynomials and quantum groups

0 references

Ocneanu cell calculus and integrable lattice models

0 references

Level bounds for exceptional quantum subgroups in rank two

0 references

Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

0 references

Geometric realization of algebraic conformal field theories

0 references

Representation theory in chiral conformal field theory: from fields to observables

0 references

State sum invariants of 3-manifolds and quantum \(6j\)-symbols

0 references

A minimal action of the compact quantum group \(SU_q(n)\) on a full factor

0 references

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

0 references

Hecke algebras of type \(A_ n\) and subfactors

0 references

Quantum field theory and the Jones polynomial

0 references

New braided endomorphisms from conformal inclusions

0 references

Algebraic coset conformal field theories.

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Algebraic orbifold conformal field theories

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JONES-WASSERMANN SUBFACTORS FOR DISCONNECTED INTERVALS

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Mirror extensions of local nets

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Identifiers

arXiv ID

2303.04459

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6051684