On the Hamiltonian integrability of the bi-Yang-Baxter σ-model

  title={On the Hamiltonian integrability of the bi-Yang-Baxter σ-model},
  author={bi-Yang-Baxter σ-model},
  • bi-Yang-Baxter σ-model
  • Published 2016
The bi-Yang-Baxter σ-model is a certain two-parameter deformation of the principal chiral model on a real Lie group G for which the left and right G-symmetries of the latter are both replaced by Poisson-Lie symmetries. It was introduced by C. Klimč́ık who also recently showed it admits a Lax pair, thereby proving it is integrable at the Lagrangian level. By working in the Hamiltonian formalism and starting from an equivalent description of the model as a two-parameter deformation of the coset… CONTINUE READING


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