On minimal coupling of the ABC-superparticle to supergravity background

TL;DR

This paper demonstrates that the ABC-superparticle can be consistently coupled to supergravity backgrounds using Hamiltonian methods, ensuring all supergravity constraints are satisfied.

Contribution

It provides a rigorous Hamiltonian-based proof of minimal coupling for the ABC-superparticle to supergravity, including all relevant constraints.

Findings

Successful minimal coupling to supergravity backgrounds.

All supergravity constraints are satisfied in the coupling.

Hamiltonian methods are effective for this analysis.

Abstract

By rigorous application of the Hamiltonian methods we show that the ABC-formulation of the Siegel superparticle admits consistent minimal coupling to external supergravity. The consistency check proves to involve all the supergravity constraints.