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 language | English |
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Article number | 79 |
Journal | Journal of High Energy Physics |
Volume | 2018 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Apr 2018 |
Keywords
- Extended Supersymmetry
- Integrable Field Theories
ASJC Scopus subject areas
- Nuclear and High Energy Physics