Classical \(N\)-reflection equation and Gaudin models

DOI10.1007/S11005-018-1128-2zbMath1472.17079arXiv1803.09931OpenAlexW2795193385WikidataQ61307300 ScholiaQ61307300MaRDI QIDQ1737090

Vincent Caudrelier, Nicolas Crampé

Publication date: 26 March 2019

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09931

zbMATH Keywords

classical Yang-Baxter equationGaudin modelsclassical reflection equationnon-skew-symmetric \(r\)-matrices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Poisson algebras (17B63) Yang-Baxter equations (16T25)

Related Items (3)

3-dimensional mixed BF theory and Hitchin's integrable system ⋮ Bethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundary ⋮ Twisted rational \(r\)-matrices and algebraic Bethe ansatz: application to generalized Gaudin and Richardson models

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