Calogero-Moser and Toda systems for twisted and untwisted affine Lie algebras

DOI10.1016/S0550-3213(98)00569-0zbMath0953.37019arXivhep-th/9804125OpenAlexW2150922808MaRDI QIDQ1570628

Eric D'Hoker, Duong H. Phong

Publication date: 11 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9804125

zbMATH Keywords

affine Lie algebrasCoxeter numberscaling limitselliptic Calogero-Moser Lax pairHamiltonian Lax pairToda Lax pair

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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