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arXiv · 1802.08011

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

Anton Galajinsky
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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.

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Anton Galajinsky. 2018-02-22. Ruijsenaars-Schneider three-body models with N=2 supersymmetry. https://doi.org/10.1007/jhep04(2018)079

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