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Communications in Mathematical Physics

, Volume 223, Issue 3, pp 533–552 | Cite as

Calogero–Moser Systems and Hitchin Systems

  • J. C. Hurtubise
  • E. Markman

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 d'Hoker and Phong [dP1] and Bordner, Corrigan and Sasaki [BCS1] in terms of equivariant embeddings of the Hitchin system of G into that of GL(N).

Keywords

Root System Spectral Parameter Hitchin System Moser System Equivariant Embedding 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • J. C. Hurtubise
    • 1
  • E. Markman
    • 2
  1. 1.Centre de Recherches Mathématiques, Université de Montréal and Department of Mathematics,¶McGill University, Montréal, Quebec H3C 3P8, Canada. E-mail: hurtubis@crm.umontreal.caCA
  2. 2.Department of Mathematics, University of Massachusetts, Amherst, MA 01003, USA.¶E-mail: markman@math.umass.eduUS

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