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

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

2011-06-15

arxiv.org/abs/1106.2943v1

Nucl.Phys.B853:139-173,2011

Physics

Mathematical Physics

34 pages

Scientific paper

10.1016/j.nuclphysb.2011.07.021

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.

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