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

preprint2020arXivOpen access

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.

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