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Regular and Chaotic Dynamics, 1998, Volume 3, Issue 4, Pages 27–39
DOI: https://doi.org/10.1070/RD1998v003n04ABEH000090 (Mi rcd959) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

E. D'Hokerab, D. H. Phongc

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
Citations (3)
DOI: https://doi.org/10.1070/RD1998v003n04ABEH000090
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 $SL(N)$.
Received: 24.12.1998
Bibliographic databases:
Document Type: Article
MSC: 34A05, 58F07
Language: English
Citation: E. D'Hoker, D. H. Phong, “Lax Pairs and Spectral Curves for Calogero–Moser and Spin Calogero–Moser Systems”, Regul. Chaotic Dyn., 3:4 (1998), 27–39
Citation in format AMSBIB
\Bibitem{DhoPho98}
\by E. D'Hoker, D. H. Phong
\paper Lax Pairs and Spectral Curves for Calogero–Moser and Spin Calogero–Moser Systems
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 4
\pages 27--39
\mathnet{http://mi.mathnet.ru/rcd959}
\crossref{https://doi.org/10.1070/RD1998v003n04ABEH000090}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1704980}
\zmath{https://zbmath.org/?q=an:0952.37041}
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    • This publication is cited in the following 3 articles:
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