Unification of twistors and Ramond vectors

TL;DR

This paper introduces a new supersymmetric object called the $ heta$-twistor, unifying twistors and Ramond vectors, and analyzes its symmetry properties and implications for superconformal symmetry breaking.

Contribution

It generalizes supertwistors to include Ramond vectors, revealing new symmetry-breaking effects in supersymmetric geometries.

Findings

The $ heta$-twistor preserves super-Poincare symmetry.

It breaks superconformal boost symmetry.

The symmetry breaking relates to the Gross-Wess effect.

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.