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arxiv: math-ph/0612008 · v1 · submitted 2006-12-02 · 🧮 math-ph · gr-qc· math.MP· math.SG

The θ-twistor versus the supertwistor

classification 🧮 math-ph gr-qcmath.MPmath.SG
keywords thetatwistorpenrosespinorssupertwistoralternativechainchiral
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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

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