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Lax pairs and spectral curves for Calogero-Moser and spin Calogero-Moser systems - MaRDI portal

Lax pairs and spectral curves for Calogero-Moser and spin Calogero-Moser systems (Q1302430)

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Lax pairs and spectral curves for Calogero-Moser and spin Calogero-Moser systems
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    Lax pairs and spectral curves for Calogero-Moser and spin Calogero-Moser systems (English)
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    11 November 1999
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    Certain 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 are reviewed. Spectral curves and parametrisations of elliptic Calogero-Moser systems such as the Ruijsenaars-Schneider systems or the spin Calogero-Moser systems are discussed.
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    Lax representation
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    spectral curves
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    elliptic Calogero-Moser systems
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    scaling limits to Toda systems
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    Seiberg-Witten theory
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    Ruijsenaars-Schneider systems
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    spin Calogero-Moser systems
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