# 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.

## 11 Citations

### Five-dimensional N=4 supersymmetric mechanics

- 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…

### =2 supersymmetric fibration viewed as superparticle mechanics

- 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…

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

- 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…

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

- 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…

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

- 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…

### SU(2) reductions in = 4 multidimensional supersymmetric mechanics

- 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…

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

- 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…

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

- 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…

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

- Mathematics
- 2010

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

- 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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