Ruijsenaars-Schneider three-body models with N = 2 supersymmetry
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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.
KeywordsExtended Supersymmetry Integrable Field Theories
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- F. Calogero, Classical many-body problems amenable to exact treatments, Lect. Notes Phys. Monogr. 66, Springer, Germany, (2001).Google Scholar