Supersymmetry on the Surface S_2

TL;DR

This paper develops a superspace formulation for supersymmetric models on the spherical surface S_2 using symplectic Majorana spinors, enabling new approaches to supersymmetry on curved surfaces.

Contribution

It introduces a novel superspace framework on S_2 employing symplectic Majorana spinors, extending supersymmetry techniques to curved two-dimensional surfaces.

Findings

Supersymmetric models on S_2 can be formulated using superspace methods.

Symplectic Majorana spinors serve as Grassmann coordinates in this framework.

The approach facilitates analysis of supersymmetry on curved geometries.

Abstract

By using symplectic Majorana spinors as Grassmann coordinates in a superspace associated with the supersymmetric extension of the isometry group on the spherical surface S_2, it proves possible to formulate supersymmetric models on S_2 using superspace techniques.