Construction of wedge-local nets of observables through Longo-Witten endomorphisms. II

DOI10.1007/s00220-012-1593-xzbMath1260.81215arXiv1111.1671OpenAlexW2024382141MaRDI QIDQ1936415

Marcel Bischoff, Yoh Tanimoto

Publication date: 4 February 2013

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

Full work available at URL: https://arxiv.org/abs/1111.1671

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of selfadjoint operator algebras to physics (46L60) (S)-matrix theory, etc. in quantum theory (81U20) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (15)

On the equivalence of two deformation schemes in quantum field theory ⋮ Bound state operators and wedge-locality in integrable quantum field theories ⋮ How to add a boundary condition ⋮ Wedge-local observables for factorizing S-matrix with gap in the coupling constant ⋮ Wedge-local fields in integrable models with bound states ⋮ Wedge-local fields in integrable models with bound states. II: Diagonal S-matrix ⋮ Integrable QFT and Longo-Witten endomorphisms ⋮ Localization in nets of standard spaces ⋮ On the modular operator of mutli-component regions in chiral CFT ⋮ Algebraic Conformal Quantum Field Theory in Perspective ⋮ Algebraic Constructive Quantum Field Theory: Integrable Models and Deformation Techniques ⋮ Ground state representations of some non-rational conformal nets ⋮ Interacting massless infraparticles in 1+1 dimensions ⋮ CONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMS ⋮ Massless Wigner particles in conformal field theory are free

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative deformations of Wightman quantum field theories
• Wedge-local quantum fields and noncommutative Minkowski space
• Noninteraction of waves in two-dimensional conformal field theory
• 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
• Deformations of quantum field theories on spacetimes with Killing vector fields
• Asymptotic completeness in a class of massless relativistic quantum field theories
• Structure and classification of superconformal nets
• Construction of quantum field theories with factorizing S-matrices
• The CPT-theorem in two-dimensional theories of local observables
• Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators
• Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories
• HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORY

This page was built for publication: Construction of wedge-local nets of observables through Longo-Witten endomorphisms. II