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The $θ$-twistor versus the supertwistor

A. A. Zheltukhin
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Abstract

We introduce the $θ$-twistor which is a new supersymmetric generalization of the Penrose twistor and is also alternative to the supertwistor. The $θ$-twistor is a triple of {\it spinors} including the spinor $θ$ extending the Penrose's double of spinors. Using the $θ$-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

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A. A. Zheltukhin. 2006-12-02. The $θ$-twistor versus the supertwistor. https://arxiv.org/abs/math-ph/0612008

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