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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Article number79
JournalJournal of High Energy Physics
Volume2018
Issue number4
DOIs
Publication statusPublished - 1 Apr 2018

Fingerprint

supersymmetry
hyperbolic systems
formalism

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 journalArticle

@article{4d7f89d2253749d09ada8cc6c69eb22a,
title = "Ruijsenaars-Schneider three-body models with N = 2 supersymmetry",
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 = "Extended Supersymmetry, Integrable Field Theories",
author = "Anton Galajinsky",
year = "2018",
month = "4",
day = "1",
doi = "10.1007/JHEP04(2018)079",
language = "English",
volume = "2018",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "4",

}

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 -