English

A new type of supersymmetric twistors and higher spin chiral multiplets

High Energy Physics - Theory 2007-05-23 v1 Mathematical Physics math.MP

Abstract

A new type of supersymmetric twistors is proposed and they are called θ\theta-twistors versus the supertwistors. The θ\theta-twistor is a triple of spinors including the spinor superspace coordinate θ\theta instead of the Grassmannian scalar in the supertwistor triple. The superspace of the θ\theta-twistors is closed under the superconformal group transformations except the (super)conformal boosts. Using the θ\theta-twistors in physics preserves the auxiliary field F in the chiral (0,1/2) supermultiplet contrarily to the supertwistor description. Moreover, it yields an infinite chain of higher spin chiral supermultiplets (1/2,1), (1,3/2), (3/2,2),...,(S,S+1/2) generalizing the scalar massless supermultiplet.

Keywords

Cite

@article{arxiv.hep-th/0606234,
  title  = {A new type of supersymmetric twistors and higher spin chiral multiplets},
  author = {A. A. Zheltukhin},
  journal= {arXiv preprint arXiv:hep-th/0606234},
  year   = {2007}
}

Comments

Latex, 15 pages, no figures