CONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMS

DOI10.1017/fms.2014.3zbMath1298.81139arXiv1301.6090OpenAlexW3102822489MaRDI QIDQ2879420

Yoh Tanimoto

Publication date: 1 September 2014

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6090

zbMATH Keywords

wedge-shaped regionHaag-Kastler netBorchers tripletwo-dimensional spacetimealgebraic QFTchiral conformal QFTLongo-Witten endomorphisms

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (13)

Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems ⋮ Bound state operators and wedge-locality in integrable quantum field theories ⋮ Wedge-local observables for factorizing S-matrix with gap in the coupling constant ⋮ Modular operator for null plane algebras in free fields ⋮ Free products in AQFT ⋮ A criterion for asymptotic completeness in local relativistic QFT ⋮ 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 ⋮ Scale and Möbius covariance in two-dimensional Haag-Kastler net ⋮ Interacting massless infraparticles in 1+1 dimensions ⋮ Deformations of half-sided modular inclusions and non-local chiral field theories ⋮ Massless Wigner particles in conformal field theory are free

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