E. D'Hoker, D. H. Phong, “Lax Pairs and Spectral Curves for Calogero–Moser and Spin Calogero–Moser Systems”, Regul. Chaotic Dyn., 1998, Volume 3, Issue 4,Pages <nobr>27

This article is cited in 3 papers

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

E. D'Hoker^ab, D. H. Phong^c

^a Department of Physics, University of California, Los Angeles, CA 90024
^b Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106
^c Department of Mathematics, Columbia University, New York, NY 10027

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 $SL(N)$.

MSC: 34A05, 58F07

Received: 24.12.1998

Language: English

DOI: 10.1070/RD1998v003n04ABEH000090