On integrability of the Yang–Baxter σ-model

2008/02/24 by C. Klimčı́k, C. Klimcik · 14 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1063/1.3116242

published as J.Math.Phys.50:043508,2009 · 22 pages

arxiv created 2008/02/24 · openalex publication_date 2009/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the recently introduced Yang–Baxter σ-model can be considered as an integrable 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.

Citations

• Poisson-Lie T-duality and loop groups of Drinfeld doubles

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