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 |
|---|---|
| Article number | 79 |
| Journal | Journal of High Energy Physics |
| Volume | 2018 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Apr 2018 |
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Keywords
- Extended Supersymmetry
- Integrable Field Theories
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Ruijsenaars-Schneider three-body models with N = 2 supersymmetry. / Galajinsky, Anton.
In: Journal of High Energy Physics, Vol. 2018, No. 4, 79, 01.04.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Ruijsenaars-Schneider three-body models with N = 2 supersymmetry
AU - Galajinsky, Anton
PY - 2018/4/1
Y1 - 2018/4/1
N2 - 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.
AB - 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.
KW - Extended Supersymmetry
KW - Integrable Field Theories
UR - http://www.scopus.com/inward/record.url?scp=85046421523&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85046421523&partnerID=8YFLogxK
U2 - 10.1007/JHEP04(2018)079
DO - 10.1007/JHEP04(2018)079
M3 - Article
VL - 2018
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 4
M1 - 79
ER -