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

  • Anton GalajinskyEmail author
Open Access
Regular Article - Theoretical Physics


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.


Extended Supersymmetry Integrable Field Theories 


Open Access

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.School of PhysicsTomsk Polytechnic UniversityTomskRussia

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