The $\theta$-twistor versus the supertwistor

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

To appear in Proceedings of QEDSP2006, the 2nd International Conference on Quantum Electrodynamics and Statistical Physics, Kharkov Institute of Physics and Technology, Kharkov, Ukraine, 19-23 September 2006