Action-angle duality between the \(C_n\)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models
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Publication:659318
DOI10.1016/j.nuclphysb.2011.07.021zbMath1229.37073arXiv1106.2943OpenAlexW2003994998MaRDI QIDQ659318
Publication date: 18 January 2012
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.2943
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Applications of Lie algebras and superalgebras to integrable systems (17B80) Hamilton-Jacobi equations in mechanics (70H20) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Related Items
Duality between the trigonometricBCnSutherland system and a completed rational Ruijsenaars–Schneider–van Diejen system ⋮ Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models ⋮ Scattering theory of the hyperbolic \(BC_n\) Sutherland and the rational \(BC_n\) Ruijsenaars-Schneider-Van Diejen models ⋮ The hyperbolic \(BC_n\) Sutherland and the rational \(BC_n\) Ruijsenaars-Schneider-Van Diejen models: Lax matrices and duality ⋮ Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction ⋮ Global description of action-angle duality for a Poisson-Lie deformation of the trigonometric \(\mathrm {BC}_n\) Sutherland system ⋮ Self-duality and scattering map for the hyperbolic van Diejen systems with two coupling parameters (with an Appendix by S. Ruijsenaars) ⋮ Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters ⋮ On the classical \(r\)-matrix structure of the rational \(BC_n\) Ruijsenaars-Schneider-van Diejen system
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