Supersymmetry and the Rotation Group

TL;DR

This paper explores a supersymmetric extension of the rotation group, mapping it from a spherical surface to Euclidean space, revealing a model without manifest local structure.

Contribution

It introduces a novel supersymmetric model invariant under an extended rotation group and maps it to Euclidean space using stereographic projection.

Findings

Model invariant under supersymmetric extension of O(3)

Mapping from S2 to Euclidean space via stereographic projection

Resulting model lacks manifest local structure

Abstract

A model invariant under a supersymmetric extension of the rotation group O(3) is mapped, using a stereographic projection, from the spherical surface S2 to two dimensional Euclidean space. The resulting model does not have a manifest local structure.