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Title: Ruijsenaars-Schneider three-body models with N = 2 supersymmetry
Authors: Galajinsky, Anton Vladimirovich
Keywords: суперсимметрии; теория поля
Issue Date: 2018
Publisher: Томский политехнический университет
Citation: Galajinsky A. V. Ruijsenaars-Schneider three-body models with N = 2 supersymmetry / A. V. Galajinsky // Journal of High Energy Physics. — 2018. — Vol. 2018, № 4. — [79, 10 p.].
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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