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

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

1999-02-27

arxiv.org/abs/hep-th/9903002v2

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figures, Plain TeX; Contribution to "Regular and Chaotic Dynamics" dedicated to J. Moser; several references adde

Scientific paper

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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