Integrability, Duality and Sigma Models Auteur(s): Fateev V., Litvinov Alexey V. (Article) Publié: Journal Of High Energy Physics, vol. 11 p.204 (2018) Texte intégral en Openaccess : Ref HAL: hal-01774013_v1 Ref Arxiv: 1804.03399 Ref INSPIRE: 1667074 DOI: 10.1007/JHEP11(2018)204 WoS: 000453291500008 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 5 Citations Résumé: We introduce and study conformal field theories specified by W −algebras commuting with certain set of screening charges. These CFT’s possess perturbations which define integrable QFT’s. We establish that these QFT’s have local and non-local Integrals of Motion and admit the perturbation theory in the weak coupling region. We construct factorized scattering theory which is consistent with non-local Integrals of Motion and perturbation theory. In the strong coupling limit the S−matrix of this QFT tends to the scattering matrix of the O(N) sigma model. The perturbation theory, Bethe ansatz technique, renormalization group approach and methods of conformal field theory are applied to show, that the constructed QFT’s are dual to integrable deformation of O(N) sigma-models. |