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${\cal N}{=}\,4$ supersymmetric Calogero-Sutherland models

High Energy Physics - Theory 2020-04-15 v2 Mathematical Physics math.MP

Abstract

Starting from the Hamiltonian formulation of supersymmetric Calogero models associated with the classical AnA_n, BnB_n, CnC_n and DnD_n series we construct the N=2{\cal N}{=}\,2 and N=4{\cal N}{=}\,4 supersymmetric extensions of the their hyperbolic/trigonometric Calogero-Sutherland cousins. The bosonic core of these models are the standard Calogero-Sutherland hyperbolic/trigonometric systems.

Keywords

Cite

@article{arxiv.2002.03929,
  title  = {${\cal N}{=}\,4$ supersymmetric Calogero-Sutherland models},
  author = {Sergey Krivonos and Olaf Lechtenfeld},
  journal= {arXiv preprint arXiv:2002.03929},
  year   = {2020}
}

Comments

1+6 pages; v2: to be published in PRD

R2 v1 2026-06-23T13:37:08.725Z