Classical and quantum integrable sigma models. Ricci flow, "nice duality" and perturbed rational conformal field theories Auteur(s): Fateev V. (Document sans référence bibliographique) 2019-02-07Texte intégral en Openaccess : Ref HAL: hal-02023484_v1 Ref Arxiv: 1902.02811 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote Résumé: We consider classical and quantum integrable sigma models and their relations with the solutions of renormalization group equations. We say that an integrable sigma model possesses the "nice" duality property if the dual quantum field theory has the weak coupling region. As an example, we consider the deformed $CP(n-1)$ sigma model with additional quantum degrees of freedom. We formulate the dual integrable field theory and use perturbed conformal field theory, perturbation theory, $S$-matrix, Bethe Ansatz and renormalization group methods to show that this field theory has the "nice" duality property. We consider also an alternative approach to the analysis of sigma models on the deformed symmetric spaces, based on the perturbed rational conformal field theories. Commentaires: 37 pages |