Ruijsenaars-Schneider three-body models with N = 2 supersymmetry

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Abstract

The Ruijsenaars-Schneider models are conventionally regarded as relativistic generalizations of the Calogero integrable systems. Surprisingly enough, their supersymmetric generalizations escaped attention. In this work, N = 2 supersymmetric extensions of the rational and hyperbolic Ruijsenaars-Schneider three-body models are constructed within the framework of the Hamiltonian formalism. It is also known that the rational model can be described by the geodesic equations associated with a metric connection. We demonstrate that the hyperbolic systems are linked to non-metric connections.

Original languageEnglish
Article number79
JournalJournal of High Energy Physics
Volume2018
Issue number4
DOIs
Publication statusPublished - 1 Apr 2018

Keywords

  • Extended Supersymmetry
  • Integrable Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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