2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119790We 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 $(0,{1/2})$ supermultipletTo 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 2006Mathematical PhysicsGeneral Relativity and Quantum CosmologySymplectic Geometrytext