Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals

Viktor Ayadi, László Fehér, Tamás F. Görbe

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We explain that the action-angle duality between the rational Ruijsenaars-Schneider and hyperbolic Sutherland systems implies immediately the maximal superintegrability of these many-body systems. We also present a new direct proof of the Darboux form of the reduced symplectic structure that arises in the 'Ruijsenaars gauge' of the symplectic reduction underlying this case of action-angle duality. The same arguments apply to the BCn generalization of the pertinent dual pair, which was recently studied by Pusztai developing a method utilized in our direct calculation of the reduced symplectic structure.

Original languageEnglish
Pages (from-to)27-44
Number of pages18
JournalJournal of Geometry and Symmetry in Physics
Volume27
Issue numberSEPTEMBER
DOIs
Publication statusPublished - Sep 1 2012

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ASJC Scopus subject areas

  • Mathematical Physics
  • Geometry and Topology

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