The $\theta$-twistor versus the supertwistor

TL;DR

The paper introduces the $ heta$-twistor as a new supersymmetric extension of the Penrose twistor, providing an alternative to the supertwistor and enabling the construction of infinite chains of massless higher spin supermultiplets.

Contribution

It presents the $ heta$-twistor, a novel supersymmetric generalization of the Penrose twistor, and demonstrates its use in deriving higher spin supermultiplets.

Findings

$ heta$-twistor is a new supersymmetric twistor alternative.

Enables construction of infinite massless higher spin supermultiplets.

Generalizes known scalar supermultiplet to higher spins.

Abstract

We introduce the $\theta$-twistor which is a new supersymmetric generalization of the Penrose twistor and is also alternative to the supertwistor. The $\theta$-twistor is a triple of {\it spinors} including the spinor $\theta$ extending the Penrose's double of spinors. Using the $\theta$-twistors yields an infinite chain of massless higher spin chiral supermultiplets $({1/2},1), (1, {3/2}), ({3/2},2),...,(S, S+{1/2})$ generalizing the known scalar $(0,{1/2})$ supermultiplet