Five-dimensional N=4 supersymmetric mechanics

TL;DR

This paper constructs a five-dimensional  supersymmetric mechanics model describing an isospin particle interacting with a Yang monopole, derived via Hamiltonian reduction of two supermultiplets, and explores possible generalizations.

Contribution

It introduces a novel five-dimensional  supersymmetric mechanics model through Hamiltonian reduction, extending previous models with new interaction structures.

Findings

Derived a five-dimensional  supersymmetric mechanics model

Connected the model to isospin particles and Yang monopoles

Explored generalizations with hypermultiplet constructions

Abstract

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 mechanics describing the motion of an isospin carrying particle interacting with a Yang monopole. Some possible generalizations of the action to the cases of systems with a more general bosonic action constructed with the help of the ordinary and twisted \Nf hypermultiplets are considered.