Trigonometric Sutherland systems and their Ruijsenaars duals from symplectic reduction

DOI10.1063/1.3492919zbMath1314.37042arXiv1005.4531OpenAlexW3104914550MaRDI QIDQ5253979

Viktor Ayadi, László Fehér

Publication date: 5 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4531

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) (n)-body problems (70F10)

Related Items

On three dimensional quiver gauge theories and integrability, Trigonometric and elliptic Ruijsenaars-Schneider systems on the complex projective space, Duality between the trigonometricBC_nSutherland system and a completed rational Ruijsenaars–Schneider–van Diejen system, Poisson reductions of master integrable systems on doubles of compact Lie groups, 3D mirror symmetry for instanton moduli spaces, Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction, Trigonometric real form of the spin RS model of Krichever and Zabrodin, Action-angle duality between the \(C_n\)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models, 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, BPS states in omega background and integrability, An integrable BC(n) Sutherland model with two types of particles, A new model in the Calogero-Ruijsenaars family

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