N=4 Supersymmetric MICZ-Kepler systems on S3

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Proceeding from the superfield action for $N=4, d=1$ nonlinear supermultiplet, equipped with the most general potential term, we find the action describing a charged particle on the sphere $S^3$ in the field of $n$ fixed Dirac dyons. We construct the supercharges and Hamiltonian and analyze some particulary interesting potentials corresponding to the N=4 supersymmetric extension of the integrable one- and two-center McIntosh--Cisneros--Zwanziger--Kepler (MICZ-Kepler) systems on $S^3$.
8 pages, PACS: 11.30.Pb, 03.65.-w; corrected a misprint in (3.12), added the last sentence on page 3, added the paragraph after (3.7), added the sentence after (4.5)

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