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

Abstract

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.

22 pages

References in corpus (3)

• Giant Magnons
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• Dressing the Giant Magnon

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