N=4 supersymmetric mechanics with nonlinear chiral supermultiplet

TL;DR

This paper develops N=4 supersymmetric mechanics using a nonlinear chiral supermultiplet that describes a sphere, revealing how nonlinearity deforms connections and potentials, and allows for magnetic fields.

Contribution

It introduces a novel N=4 nonlinear chiral supermultiplet framework for supersymmetric mechanics on a spherical target space.

Findings

Deformation of connection due to supermultiplet nonlinearity

Potential deformation influenced by nonlinearity

Possible emergence of non-zero magnetic fields

Abstract

We construct N=4 supersymmetric mechanics using the N=4 nonlinear chiral supermultiplet. The two bosonic degrees of freedom of this supermultiplet parameterize the sphere S(2) and go into the bosonic components of the standard chiral multiplet when the radius of the sphere goes to infinity. We construct the most general action and demonstrate that the nonlinearity of the supermultiplet results in the deformation of the connection, which couples the fermionic degrees of freedom with the background, and of the bosonic potential. Also a non-zero magnetic field could appear in the system.