Abstract
We present a novel twistor formulation of the ten-dimensional massless super-particle. This formulation is based on the introduction of pure spinor variables through a field redefinition of another model for the superparticle, and in the new description we find that the super-Pauli-Lubanski three-form naturally arises as a constraint. Quantization is studied in detail for both models and they are shown to correctly describe the D = 10 super-Yang-Mills states.
Highlights
To consider pure spinors to try to generalize the results of the original four-dimensional twistor string program to ten dimensions, where superstring theory naturally lives
We present a novel twistor formulation of the ten-dimensional massless superparticle
Following the standard BRST quantization approach we introduce a generation of ghost variables for each reducibility level
Summary
We review a model for the ten-dimensional massless superparticle first introduced by Berkovits in [23]. The variables in this model correspond to two ten-dimensional Majorana-Weyl bosonic spinors of opposite chirality Λα, Ωα, where α = 1, . A set of constraints must be imposed on the variables in order to recover the 18|8 phase space of the Brink-Schwarz superparticle [22].
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