Deformed integrable σ-models, classical R-matrices and classical exchange algebra on Drinfel'd doubles

2015/04/23 by Benoit Vicedo · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1088/1751-8113/48/35/355203

33 pages, 4 figures

arxiv created 2015/04/23 · arxiv updated 2015/09/02

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.

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