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arxiv: hep-th/0606234 · v1 · submitted 2006-06-25 · ✦ hep-th · math-ph· math.MP

A new type of supersymmetric twistors and higher spin chiral multiplets

classification ✦ hep-th math-phmath.MP
keywords thetatwistorschiralhigherscalarspinsupermultipletsuperspace
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A new type of supersymmetric twistors is proposed and they are called $\theta$-twistors versus the supertwistors. The $\theta$-twistor is a triple of spinors including the spinor superspace coordinate $\theta$ instead of the Grassmannian scalar in the supertwistor triple. The superspace of the $\theta$-twistors is closed under the superconformal group transformations except the (super)conformal boosts. Using the $\theta$-twistors in physics preserves the auxiliary field F in the chiral (0,1/2) supermultiplet contrarily to the supertwistor description. Moreover, it yields an infinite chain of higher spin chiral supermultiplets (1/2,1), (1,3/2), (3/2,2),...,(S,S+1/2) generalizing the scalar massless supermultiplet.

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