A new type of supersymmetric twistors and higher spin chiral multiplets

Abstract

A new type of supersymmetric twistors is proposed and they are called $θ$-twistors versus the supertwistors. The $θ$-twistor is a triple of spinors including the spinor superspace coordinate $θ$ instead of the Grassmannian scalar in the supertwistor triple. The superspace of the $θ$-twistors is closed under the superconformal group transformations except the (super)conformal boosts. Using the $θ$-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.