Integrable Many-Body Systems of Calogero-Moser-Sutherland Type in High Dimension

Physics – High Energy Physics – High Energy Physics - Theory

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Scientific paper

A new series of integrable cases of the many-body problem in many-dimensional
spaces is found. That series appears as a part of the larger series of
integrable problems, which are in 1-1 correspondence with Krichever-Novikov
algebras of affine type (that is with pairs each one consisting of some finite
root system and some Riemann surface of finite genus with two marked points).

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