Twistor form of massive 6D superparticle

TL;DR

This paper presents a supertwistor formulation for the massive 6D superparticle that makes both manifest supersymmetries apparent, revealing its zero superspin property and connection to the 6D Proca supermultiplet.

Contribution

It introduces a supertwistor approach that makes the hidden supersymmetry manifest and replaces the mass-shell constraint with spin-shell constraints in 6D superparticle theory.

Findings

Superparticle has zero superspin at quantum level.

For n=1, it propagates the 6D Proca supermultiplet.

Supertwistor formulation reveals hidden supersymmetry.

Abstract

The massive six-dimensional (6D) superparticle with manifest (n,0) supersymmetry is shown to have a supertwistor formulation in which its "hidden" (0,n) supersymmetry is also manifest. The mass-shell constraint is replaced by Spin(5) spin-shell constraints which imply that the quantum superparticle has zero superspin, for n=1 it propagates the 6D Proca supermultiplet.