2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186568We generalize the idea of supertwistors and introduce a new supersymmetric object - the $θ$-twistor which includes the composite Ramond vector [11] well known from the spinning string dynamics. The symmetries of the chiral $θ$-twistor superspace are studied. It is shown that the chiral spin structure introduced by the $θ$-twistor breaks the superconformal boost symmetry but preserves the scale symmetry and the super-Poincare symmetry. This geometrical effect of breaking correlates with the Gross-Wess effect of the conformal boost breaking for bosonic scattering amplitudes.Comments: 11 pages, v2 published in Phys. Lett.: misprints corrected and clarifications addedHigh Energy Physics - Theorytext