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arxiv: 0906.5185 · v1 · submitted 2009-06-29 · 🧮 math.QA · math-ph· math.MP

Bethe algebra of Gaudin model, Calogero-Moser space and Cherednik algebra

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We identify the Bethe algebra of the Gaudin model associated to gl(N) acting on a suitable representation with the center of the rational Cherednik algebra and with the algebra of regular functions on the Calogero-Moser space.

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