1. Integrability, duality and sigma models
- Author
-
A. V. Litvinov, Vladimir Fateev, Laboratoire Charles Coulomb (L2C), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Charles Coulomb ( L2C ), and Université de Montpellier ( UM ) -Centre National de la Recherche Scientifique ( CNRS )
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,Sigma model ,Integrable system ,FOS: Physical sciences ,Duality (optimization) ,algebra: Lie ,01 natural sciences ,[ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] ,Bethe ansatz ,sigma model: O(N) ,field theory: integrability ,0103 physical sciences ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,Integrable Field Theories ,Perturbation theory ,010306 general physics ,Mathematical physics ,field theory: conformal ,Physics ,Conformal Field Theory ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,010308 nuclear & particles physics ,Conformal field theory ,Computer Science::Information Retrieval ,scattering ,nonlocal ,Renormalization group ,16. Peace & justice ,High Energy Physics - Theory (hep-th) ,lcsh:QC770-798 ,duality ,charge: screening ,Scattering theory ,renormalization group ,Sigma Models - Abstract
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.
- Published
- 2018