SU(2) reduction in N=4 supersymmetric mechanics

TL;DR

This paper performs an SU(2) Hamiltonian reduction on a supermultiplet action, revealing a connection to previously constructed N=4 supersymmetric mechanics with spin, highlighting the importance of the root supermultiplet.

Contribution

It introduces a novel SU(2) reduction method that links supermultiplet actions to known N=4 supersymmetric mechanics models, emphasizing the root supermultiplet's significance.

Findings

Recovered N=4 supersymmetric mechanics with spin degrees of freedom

Highlighted the role of the root supermultiplet in N=4 mechanics

Established a connection between SU(2) reduction and supersymmetric models

Abstract

We perform an su(2) Hamiltonian reduction of the general su(2)-invariant action for a self-coupled (4,4,0) supermultiplet. As a result, we elegantly recover the N=4 supersymmetric mechanics with spin degrees of freedom which was recently constructed in arXiv:0812.4276. This observation underscores the exceptional role played by the ``root'' supermultiplet in N=4 supersymmetric mechanics.