New compact forms of the trigonometric Ruijsenaars-Schneider system

DOI10.1016/j.nuclphysb.2014.02.020zbMath1285.70005arXiv1312.0400OpenAlexW2015783291MaRDI QIDQ2447194

T. J. Kluck, László Fehér

Publication date: 24 April 2014

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0400

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Hamilton's equations (70H05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) (n)-body problems (70F10)

Related Items

Quantum character varieties and braided module categories, Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry, Trigonometric and elliptic Ruijsenaars-Schneider systems on the complex projective space, Poisson reductions of master integrable systems on doubles of compact Lie groups, Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of \({\mathrm{U}}(n)\), Genus zero \(\widehat{\mathfrak{su}}(n)_m\) Wess-Zumino-Witten fusion rules via Macdonald polynomials, On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system, 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)

Uses Software

• polymake
• SageMath

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