Elliptic Calogero-Moser system from two dimensional current algebra

Abstract

We show that elliptic Calogero-Moser system and its Lax operator found by Krichever can be obtained by Hamiltonian reduction from the integrable Hamiltonian system on the cotangent bundle to the central extension of the algebra of SL(N,C) currents.Elliptic deformation of Yang-Mills theory is presented.

8 pages, Tex

References in corpus (1)

• Quantum integrable systems and representations of Lie algebras

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