N=4 Supersymmetric MICZ-Kepler systems on S3

TL;DR

This paper constructs an N=4 supersymmetric model of a charged particle on a sphere in the field of fixed dyons, extending integrable MICZ-Kepler systems with supersymmetry and analyzing their supercharges and Hamiltonian.

Contribution

It introduces a new N=4 supersymmetric extension of MICZ-Kepler systems on S^3 with explicit supercharges and Hamiltonian, including particular potentials.

Findings

Supersymmetric extension of MICZ-Kepler systems on S^3.

Explicit supercharges and Hamiltonian for the models.

Analysis of specific supersymmetric potentials.

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 $S^3$.