Incarnations of XXX $\widehat{\frak{sl}_N}$ Bethe ansatz equations and integrable hierarchies

zbMath1503.17028arXiv1907.12198MaRDI QIDQ5004890

Alexander Varchenko, I. M. Krichever

Publication date: 3 August 2021

Full work available at URL: https://arxiv.org/abs/1907.12198

zbMATH Keywords

tau-functionscommuting flowsBaker-Akhieser functionscoherent rational Ruijesenaars-Schneider systemsXXX Bethe ansatz equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80)

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Dualities in quantum integrable many-body systems and integrable probabilities. I.

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