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Lax Pairs and Spectral Curves for Calogero-Moser and Spin Calogero-Moser Systems

E. D'Hoker, D. H. Phong

hep-tharXiv:hep-th/9903002

Abstract

We summarize recent results on the construction of Lax pairs with spectral parameter for the twisted and untwisted elliptic Calogero-Moser systems associated with arbitrary simple Lie algebras, their scaling limits to Toda systems, and their role in Seiberg-Witten theory. We extend part of this work by presenting a new parametrization for the spectral curves for elliptic spin Calogero-Moser systems associated with SL(N).

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