English

Unification of twistors and Ramond vectors

High Energy Physics - Theory 2008-11-26 v2

Abstract

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

Keywords

Cite

@article{arxiv.0707.3453,
  title  = {Unification of twistors and Ramond vectors},
  author = {A. A. Zheltukhin},
  journal= {arXiv preprint arXiv:0707.3453},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T09:01:02.781Z