Ruijsenaars-Schneider three-body models with N=2 supersymmetry
High Energy Physics - Theory
2019-06-06 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1802.08011,
title = {Ruijsenaars-Schneider three-body models with N=2 supersymmetry},
author = {Anton Galajinsky},
journal= {arXiv preprint arXiv:1802.08011},
year = {2019}
}
Comments
v3: 10 pages, imaginary unit missed in Eq. (22) is reinstated