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Publication:2421939
DOI10.5802/aif.3269zbMath1416.81098arXiv1706.06070OpenAlexW2962801996WikidataQ127706975 ScholiaQ127706975MaRDI QIDQ2421939
Yoshimichi Ueda, Roberto Longo, Yoh Tanimoto
Publication date: 18 June 2019
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.06070
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Axiomatic quantum field theory; operator algebras (81T05) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items (4)
Modular structure and inclusions of twisted Araki-Woods algebras ⋮ Asymptotic completeness in a class of massive wedge-local quantum field theories in any dimension ⋮ Seeing the entanglement wedge ⋮ Deformations of half-sided modular inclusions and non-local chiral field theories
Cites Work
- Unnamed Item
- Unnamed Item
- Noninteraction of waves in two-dimensional conformal field theory
- Construction of wedge-local nets of observables through Longo-Witten endomorphisms
- Factoriality, type classification and fullness for free product von Neumann algebras
- Thermal states in conformal QFT. II
- Modular nuclearity and localization
- Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard split \(W^*\)-inclusions
- Nuclearity and thermal states in conformal field theory
- Nuclear maps and modular structures. I: General properties
- Construction of quantum field theories with factorizing S-matrices
- The universal structure of local algebras
- The CPT-theorem in two-dimensional theories of local observables
- Modular intersections of von Neumann algebras in quantum field theory
- Extensions of conformal nets and superselection structures
- On Borchers' theorem
- Half-sided modular inclusions of von Neumann-algebras
- Polarization-free quantum fields and interaction
- Simple injective subfactors
- Product states for local algebras
- Theory of operator algebras. II
- Inverse scattering and local observable algebras in integrable quantum field theories
- Localization in nets of standard spaces
- Integrable QFT and Longo-Witten endomorphisms
- On type \(III_{1}\) factors arising as free products
- Modular theory and the reconstruction of four-dimensional quantum field theories
- Algebraic Constructive Quantum Field Theory: Integrable Models and Deformation Techniques
- CONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMS
- SCALING LIMITS OF INTEGRABLE QUANTUM FIELD THEORIES
- KMS quantum symmetric states
- Free Random Variables
- Factoriality and Connes' invariant T(M) for free products of von Neumann algebras.
- Free Product Von Neumann Algebras of Type III
- EXTENSION OF THE STRUCTURE THEOREM OF BORCHERS AND ITS APPLICATION TO HALF-SIDED MODULAR INCLUSIONS
- Asymptotic structure of free product von Neumann algebras
- The simplex of tracial quantum symmetric states
- Polarization-free generators and the \(S\)-matrix
- Notes for a quantum index theorem
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