N=4 Supersymmetric MICZ-Kepler systems on S3

Abstract

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)

References in corpus (6)

• N=4 Supersymmetric Mechanics in Harmonic Superspace
• N=4, d=1 supermultiplets from nonlinear realizations of D(2,1;α)
• Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions
• Multi-center MICZ-Kepler system, supersymmetry and integrability
• N=4, d=1 tensor multiplet and hyper-Kahler sigma-models
• Geometry of N=4, d=1 nonlinear supermultiplet

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• Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
• Generalizations of MICZ-Kepler system
• N=2 supersymmetric S^2 -> CP^3 -> S^4 fibration viewed as superparticle mechanics
• N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables
• SU(2) reductions in N=4 multidimensional supersymmetric mechanics
• N=8 supersymmetric mechanics on the sphere S^3
• Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution