Generators of Local Supersymmetry Transformation from First Class Constraints

TL;DR

This paper demonstrates how to derive the generator of local supersymmetry transformations from Fermionic first class constraints, adapting existing methods used for gauge transformations, with an application to the spinning particle.

Contribution

It extends the method of deriving gauge generators from first class constraints to include Fermionic constraints for supersymmetry, applied to the spinning particle.

Findings

Supersymmetric gauge generator can be derived from Fermionic first class constraints.

The invariances identified differ from the original spinning particle discussion.

The approach adapts established gauge generator methods to supersymmetry constraints.

Abstract

We show how the generator of local supersymmetry transformations can be found from Fermionic first class constraints. This is done by adapting the approaches of Henneaux, Teit- elboim and Zanelli and of Castellani that has been used to find the generator of gauge trans- formations from Bosonic first class constraints. We illustrate how a supersymmetric gauge generator can be found by considering the spinning particle. The invariances that we find are not those presented in the original discussion of the spinning particle.