Integrability of the bi-Yang-Baxter $\sigma$-model

DOI10.1007/s11005-014-0709-yzbMath1359.70102arXiv1402.2105OpenAlexW3125037106MaRDI QIDQ464336

Publication date: 17 October 2014

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

Full work available at URL: https://arxiv.org/abs/1402.2105

zbMATH Keywords

sigma model Lax pair Poisson-Lie deformation

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws in mechanics of particles and systems (70S10)

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Cites Work

Integrability of the bi-Yang-Baxter \(\sigma\)-model