Action-angle duality between the [formula omitted]-type hyperbolic Sutherland and the rational Ruijsenaars–Schneider–van Diejen models

Abstract

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