The Superparticle on the Surface S_2

TL;DR

This paper introduces a superparticle model with a globally supersymmetric action based on the supersymmetric extension of the rotation group O(3), providing a new framework for supersymmetric particle dynamics.

Contribution

It presents a novel superparticle action with global supersymmetry on the surface S_2, extending the rotation group to include supersymmetry.

Findings

The superparticle action is explicitly constructed.

The model demonstrates supersymmetry on the surface S_2.

Potential applications in supersymmetric theories are suggested.

Abstract

A superparticle action which is globally supersymmetric in the target space is proposed. The supersymmetry is the supersymmetric extension of the rotation group O(3).