# N=4 Supersymmetric MICZ-Kepler systems on S3

@inproceedings{Bellucci2007N4SM,
title={N=4 Supersymmetric MICZ-Kepler systems on S3},
author={Stefano Bellucci and Sergey Krivonos and Vadim Ohanyan},
year={2007}
}
• Published 11 June 2007
• Physics
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 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 oneand two-center McIntosh–Cisneros–Zwanziger–Kepler (MICZ-Kepler) systems on S.
11 Citations
• Physics
• 2010
We perform an $su(2)$ Hamiltonian reduction in the bosonic sector of the $su(2)$-invariant action for two free $(4,4,0)$ supermultiplets. As a result, we get the five dimensional \Nf supersymmetric
• Physics
• 2012
. We discuss a Hamiltonian reduction procedure that relates the mechanics of an N =2 particle on CP 3 with the motion of such a superparticle on S 4 in the presence of an instanton background. The
• Physics
• 2010
We construct a Lagrangian formulation of N = 4 supersymmetric mechanics with hyper-Kahler sigma models in a bosonic sector in a non-Abelian background gauge field. The resulting action includes a
• Physics, Mathematics
• 2011
We provide a Lagrangian formulation of $\mathcal{N} = 4$ supersymmetric mechanics describing the motion of an isospin carrying particle on conformal to hyper-Kähler spaces in a non-Abelian
• Physics
• 2007
Starting from quaternionic N=8 supersymmetric mechanics we perform a reduction over a bosonic radial variable, ending up with a nonlinear off-shell supermultiplet with three bosonic end eight
• Physics
• 2010
We perform an su(2) Hamiltonian reduction in the bosonic sector of the su(2)-invariant action for two free (4, 4, 0) supermultiplets. As a result, we get the five-dimensional = 4 supersymmetric
• Physics
• 2012
We discuss a Hamiltonian reduction procedure that relates the mechanics of an =2 particle on 3 with the motion of such a superparticle on 4 in the presence of an instanton background. The key
• Physics
• 2013
We discuss a Hamiltonian reduction procedure that relates the mechanics of an 𝒩=2 particle on ℂℙ3 with the motion of such a superparticle on 𝕊4 in the presence of an instanton background. The key
We present the quadratic algebra of the generalized MICZ-Kepler system in three-dimensional Euclidean space E3 and its dual, the four-dimensional singular oscillator, in four-dimensional Euclidean
• Physics
• 2015
The nine-dimensional MICZ-Kepler problem has been established recently as a system describing the motion of a nine-dimensional charged particle in the Coulomb potential with the presence of the SO(8)

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