Calogero-Moser systems and Hitchin systems
Algebraic Geometry
2009-10-31 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
solv-int
Abstract
We exhibit the elliptic Calogero-Moser system as a Hitchin system of G-principal Higgs pairs. The group G, though naturally associated to any root system, is not semi-simple. We then interpret the Lax pairs with spectral parameter of [dP1] and [BSC1] in terms of equivariant embeddings of the Hitchin system of G into that of GL(N).
Cite
@article{arxiv.math/9912161,
title = {Calogero-Moser systems and Hitchin systems},
author = {J. C. Hurtubise and E. Markman},
journal= {arXiv preprint arXiv:math/9912161},
year = {2009}
}
Comments
22 pages, Plain Tex