Deformations of half-sided modular inclusions and non-local chiral field theories

DOI10.1007/s00220-022-04324-xzbMath1487.81112arXiv2111.03172OpenAlexW3212020231MaRDI QIDQ2117324

Gandalf Lechner, Charley Scotford

Publication date: 21 March 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.03172

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Quantization in field theory; cohomological methods (81T70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Formal methods and deformations in algebraic geometry (14D15)

Related Items (1)

Modular structure and inclusions of twisted Araki-Woods algebras

Cites Work

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• Deformations of quantum field theories and integrable models
• Noncommutative deformations of Wightman quantum field theories
• Wedge-local quantum fields and noncommutative Minkowski space
• Construction of wedge-local nets of observables through Longo-Witten endomorphisms
• An algebraic construction of boundary quantum field theory
• Warped convolutions, Rieffel deformations and the construction of quantum field theories
• Modular nuclearity and localization
• Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard split \(W^*\)-inclusions
• Standard and split inclusions of von Neumann algebras
• Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
• The universal structure of local algebras
• Notes on algebraic invariants for non-commutative dynamical systems
• The CPT-theorem in two-dimensional theories of local observables
• Extensions of conformal nets and superselection structures
• Half-sided modular inclusions of von Neumann-algebras
• \(N\)-particle scattering in relativistic wedge-local quantum field theory
• Nuclear maps and modular structures. II: Applications to quantum field theory
• Localization in nets of standard spaces
• On the equivalence of two deformation schemes in quantum field theory
• Free products in AQFT
• CONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMS
• SCALING LIMITS OF INTEGRABLE QUANTUM FIELD THEORIES
• MODULAR LOCALIZATION AND WIGNER PARTICLES
• Antiunitary representations and modular theory
• EXTENSION OF THE STRUCTURE THEOREM OF BORCHERS AND ITS APPLICATION TO HALF-SIDED MODULAR INCLUSIONS

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