Integrability of the bi-Yang-Baxter sigma-model
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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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Cited by 3 Pith papers
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Euclidean E-models are constructed by setting E squared equal to minus the identity on Drinfeld doubles, yielding a separate formalism for Euclidean Poisson-Lie T-duality, integrability criteria, and one-loop renormal...
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Classification of 34 Haantjes structures on h4 Lie algebra yields three new integrable sigma models on H4 via deformation of the chiral model under solved integrability conditions.
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The classical Yangian symmetry of Auxiliary Field Sigma Models
Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.
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