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In a symplectic reduction framework we construct action-angle systems ofcanonical coordinates for both the hyperbolic Sutherland and the rationalRuijsenaars-Schneider-van Diejen integrable models associated with the C(n)root system. The presented dual reduction picture permits us to establish theaction-angle duality between these many-particle systems.

Action-angle duality between the C(n)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models