On integrability of the Yang–Baxter σ-model

By C. Klimčík. 2008

397 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7f0284afddd0d7048bf5a78fc2fa53ed59469453

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In Geometry and Topology

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

On classical q-deformations of integrable σ-models (2013, methodology): “Similarly, it was shown in [5] that the field g of the Yang-Baxter σ-model can also be retrieved from the same extended solution Ψ(λ) of the principal chiral model, but evaluated instead at the special point λ = iη.”
Abelian Yang–Baxter deformations and TsT transformations (2016, methodology): “Yang-Baxter σ models were introduced as deformations of principal chiral models based on R operators solving the modified classical Yang-Baxter equation [8], preserving their integrability [9].”
S-matrix for strings on η-deformed AdS5 × S5 (2013, methodology): “Deformations of this type constitute a general class of deformations governed by solutions of the classical Yang-Baxter equation [16, 17].”