By Yuval Neeman
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Extra resources for Algebraic Theory of Particle Physics: Hadron Dynamics in Terms of Unitary Spin Currents
W. Nilsson, Phys. Lett. 123B (1983), 323 13. See the first reference in  14. B. H. Schwarz, Nucl. Phys. B181 (1981), 502 15. M. Ademollo, L. Brink, A. D'Adda, R. D'Auria, E. Napolitano, S. Sciuto, E. Del Giudice, P. Di Vecchia, S. Ferrara, F. Gliozzi, R. Musto, R. Pettorini and J. Schwarz, Nucl. Phys. B i l l (1976), 77 16. M. Ademollo, L. D' Adda, R. D'Auria, E. Napolitano, S. Sciuto, E. Del Giudice, P. Di Vecchia, S. Ferrara, F. Gliozzi, R. Musto and R. Pettorini, Nucl. Phys. B114 (1976), 297 17.
A similar programme for the superstring has been carried out by Nissimov, Pacheva and Solomon . They introduce new bosonic coordinates 30 Brink: Covariant Formulations of the Superparticle and the Superstring 2 Majorana-Weyl, spinors v±1/2 u" 8 Lorentz vectors, which satisfy the kinematical constraints. 2) The group SO(8) x SO(1,1) act on u j , t>*1/2 as an internal group of local rotations with u£ transforming as a vector under SO(8), (it could also be chosen as a spinor), and v±ll2 carry the charge ± 1 / 2 under SO(1,1).
However, it sounds like an overcounting to introduce two twistors for a vector. Some progress on this problem has recently been done by Cederwall . The twistor approach is a challenging idea, which should be investigated to see if it can be used to describe interacting superstrings. It has the virtue of using a minimal set of variables out of which space-time can be constructed. However, it is a formalism in which we use representations of the Lorentz group and it is not clear to me that the original phase of superstrings need be described by that symmetry.
Algebraic Theory of Particle Physics: Hadron Dynamics in Terms of Unitary Spin Currents by Yuval Neeman