Integrability of the bi-Yang-Baxter sigma-model
C. Klimcik
TL;DR
This paper develops a Lax pair with spectral parameter for a doubly Poisson-Lie deformed principal chiral model, advancing the understanding of integrability in deformed sigma-models.
Contribution
It introduces a Lax pair formulation for a new two-parameter integrable deformation of the principal chiral model.
Findings
Established integrability of the doubly deformed model
Constructed explicit Lax pair with spectral parameter
Extended the class of known integrable sigma-models
Abstract
We construct a Lax pair with spectral parameter for a two-parameter doubly Poisson-Lie deformation of the principal chiral model.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras