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KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians. (English) Zbl 1269.82018

Summary: We discuss a relation between the characteristic variety of the KZ equations and the zero set of the classical Calogero-Moser Hamiltonians.

MSC:

82B23 Exactly solvable models; Bethe ansatz
17B80 Applications of Lie algebras and superalgebras to integrable systems
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
35Q40 PDEs in connection with quantum mechanics