Integrability of the Bi-Yang–Baxter σ-Model

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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Published in	Letters in mathematical physics Vol. 104; no. 9; pp. 1095 - 1106
Main Author	Klimcik, Ctirad
Format	Journal Article
Language	English
Published	Dordrecht Springer Netherlands 01.09.2014 Springer Verlag
Subjects	Complex Systems Geometry Group Theory and Generalizations Mathematical and Computational Physics Mathematical Physics Mathematics Physics Physics and Astronomy Theoretical Poisson–Lie deformation 70H06 sigma model Lax pair 70S10 Poisson-Lie deformation
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Abstract	We construct a Lax pair with spectral parameter for a two-parameter doubly Poisson–Lie deformation of the principal chiral model.
AbstractList	We construct a Lax pair with spectral parameter for a two-parameter doubly Poisson–Lie deformation of the principal chiral model.
Author	Klimčík, Ctirad
Author_xml	– sequence: 1 givenname: Ctirad surname: Klimcik fullname: Klimcik, Ctirad organization: Institut de mathématiques de Luminy
BackLink	https://hal.science/hal-01068670$$DView record in HAL
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Keywords	Poisson–Lie deformation 70H06 sigma model Lax pair 70S10 Poisson-Lie deformation
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Snippet	We construct a Lax pair with spectral parameter for a two-parameter doubly Poisson–Lie deformation of the principal chiral model. 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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SubjectTerms	Complex Systems Geometry Group Theory and Generalizations Mathematical and Computational Physics Mathematical Physics Mathematics Physics Physics and Astronomy Theoretical
Title	Integrability of the Bi-Yang–Baxter σ-Model
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