Deformed integrable σ-models, classical R-matrices and classical exchange algebra on Drinfel'd doubles. (12th August 2015)

• Record Type: Journal Article
• Authors: Vicedo, Benoît
• Is Part Of: Journal of physics. Volume 48:Number 35(2015)
• Publication Date: 2015-08-12
• Subjects: integrable sigma-models -- deformations -- classical R-matices; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/35/355203
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We describe a unifying framework for the systematic construction of integrable deformations of integrable σ -models within the Hamiltonian formalism. It applies equally to both the 'Yang–Baxter' type as well as 'gauged WZW' type deformations which were considered recently in the literature. As a byproduct, these two families of integrable deformations are shown to be Poisson–Lie T -dual of one another.