On integrability of the Yang-Baxter $\si$-model

Details On integrability of the Yang-Baxter $\si$-model On integrability of the Yang-Baxter $\si$-model

2008-02-24

arxiv.org/abs/0802.3518v1

J.Math.Phys.50:043508,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1063/1.3116242

We prove the integrability of the Yang-Baxter $\si$-model which is the Poisson-Lie deformation of the principal chiral model. We find also an explicit one-to-one map transforming every solution of the principal chiral model into a solution of the deformed model. With the help of this map, the standard procedure of the dressing of the principal chiral solutions can be directly transferred into the deformed Yang-Baxter context.

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