Unification of twistors and Ramond vectors

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Comments: 11 pages, v2 published in Phys. Lett.: misprints corrected and clarifications added

Scientific paper

10.1016/j.physletb.2007.10.037

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.

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