N=4 supersymmetric Calogero-Sutherland models

Sergey Krivonos; Olaf Lechtenfeld

doi:10.1103/PhysRevD.101.086010

N=4 supersymmetric Calogero-Sutherland models

Sergey Krivonos
, Olaf Lechtenfeld

Joint Institute for Nuclear Research

Research output: Contribution to journal › Article › Research › peer review

Abstract

Starting from the Hamiltonian formulation of supersymmetric Calogero models associated with the classical An, Bn, Cn and Dn series we construct the N=2 and N=4 supersymmetric extensions of their hyperbolic/trigonometric Calogero-Sutherland cousins. The bosonic core of these models are the standard Calogero-Sutherland hyperbolic/trigonometric systems.

Original language	English
Article number	086010
Journal	Physical Review D
Volume	101
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.101.086010 https://doi.org/10.48550/arXiv.2002.03929
Publication status	Published - 7 Apr 2020

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.101.086010Licence: CC BY 4.0
10.48550/arXiv.2002.03929Licence: Arxiv nonexclusive-distrib 1.0

Cite this

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title = "N=4 supersymmetric Calogero-Sutherland models",

abstract = "Starting from the Hamiltonian formulation of supersymmetric Calogero models associated with the classical An, Bn, Cn and Dn series we construct the N=2 and N=4 supersymmetric extensions of their hyperbolic/trigonometric Calogero-Sutherland cousins. The bosonic core of these models are the standard Calogero-Sutherland hyperbolic/trigonometric systems.",

author = "Sergey Krivonos and Olaf Lechtenfeld",

note = "Funding Information: We thank Anton Sutulin for the valuable discussions. This work was supported by RFBF-DFG Grant No. 20-52-12003. ",

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AB - Starting from the Hamiltonian formulation of supersymmetric Calogero models associated with the classical An, Bn, Cn and Dn series we construct the N=2 and N=4 supersymmetric extensions of their hyperbolic/trigonometric Calogero-Sutherland cousins. The bosonic core of these models are the standard Calogero-Sutherland hyperbolic/trigonometric systems.

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N=4 supersymmetric Calogero-Sutherland models

Abstract

ASJC Scopus subject areas

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