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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Bibliographic Details
Published inLetters in mathematical physics Vol. 104; no. 9; pp. 1095 - 1106
Main Author Klimcik, Ctirad
Format Journal Article
LanguageEnglish
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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Summary:We construct a Lax pair with spectral parameter for a two-parameter doubly Poisson–Lie deformation of the principal chiral model.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-014-0709-y