Unification of twistors and Ramond vectors

Abstract

We generalize the idea of supertwistors and introduce a new supersymmetric object - the $\theta$-twistor which includes the composite Ramond vector [11] well known from the spinning string dynamics. The symmetries of the chiral $\theta$-twistor superspace are studied. It is shown that the chiral spin structure introduced by the $\theta$-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 added

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• Canonical description of D=10 superstring formulated in supertwistor space
• On possible composite structure of scalar fields in expanding universe
• Massless Chiral Supermultiplets of Higher Spins and the $\theta$-Twistor