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}
}
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. 
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11 Citations

Five-dimensional N=4 supersymmetric mechanics

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…

=2 supersymmetric fibration viewed as superparticle mechanics

. 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…

N = 4, d = 1 Supersymmetric Hyper-Kähler Sigma Models and Non-Abelian Monopole Background

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…

N=4, d=1 supersymmetric hyper-Kähler sigma models with isospin variables

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…

N=8 supersymmetric mechanics on the sphere S{sup 3}

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…

SU(2) reductions in = 4 multidimensional supersymmetric mechanics

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…

Script N=2 supersymmetric Bbb S2 → Bbb CBbb P3 → Bbb S4 fibration viewed as superparticle mechanics

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…

𝒩=2 supersymmetric 𝕊2 → ℂℙ3 → 𝕊4 fibration viewed as superparticle mechanics

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…

Generalized MICZ-Kepler system, duality, polynomial and deformed oscillator algebras

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…

Exact analytical solutions of the Schrödinger equation for the nine-dimensional MICZ-Kepler problem

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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