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arXiv · 1007.4127

Characteristic Classes and Integrable Systems for Simple Lie Groups

A. Levin·M. Olshanetsky·A. Smirnov·A. Zotov
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Abstract

This paper is a continuation of our previous paper \cite{LOSZ}. For simple complex Lie groups with non-trivial center, i.e. classical simply-connected groups, $E_6$ and $E_7$ we consider elliptic Modified Calogero-Moser systems corresponding to the Higgs bundles with an arbitrary characteristic class. These systems are generalization of the classical Calogero-Moser (CM) systems related to a simple Lie groups and contain CM systems related to some (unbroken) subalgebras. For all algebras we construct a special basis, corresponding to non-trivial characteristic classes, the explicit forms of Lax operators and Hamiltonians.

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BibTeXRIS

A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov. 2010-07-23. Characteristic Classes and Integrable Systems for Simple Lie Groups. https://arxiv.org/abs/1007.4127

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