The $\theta$-twistor versus the supertwistor

A. A. Zheltukhin

The $\theta$-twistor versus the supertwistor

Mathematical Physics 2007-05-23 v1 General Relativity and Quantum Cosmology math.MP Symplectic Geometry

Authors: A. A. Zheltukhin

Abstract

We introduce the $\theta$ -twistor which is a new supersymmetric generalization of the Penrose twistor and is also alternative to the supertwistor. The $\theta$ -twistor is a triple of {\it spinors} including the spinor $\theta$ extending the Penrose's double of spinors. Using the $\theta$ -twistors yields an infinite chain of massless higher spin chiral supermultiplets $({1/2},1), (1, {3/2}), ({3/2},2),...,(S, S+{1/2})$ generalizing the known scalar $(0,{1/2})$ supermultiplet

Cite

@article{arxiv.math-ph/0612008,
  title  = {The $\theta$-twistor versus the supertwistor},
  author = {A. A. Zheltukhin},
  journal= {arXiv preprint arXiv:math-ph/0612008},
  year   = {2007}
}

Comments

To appear in Proceedings of QEDSP2006, the 2nd International Conference on Quantum Electrodynamics and Statistical Physics, Kharkov Institute of Physics and Technology, Kharkov, Ukraine, 19-23 September 2006

The $\theta$-twistor versus the supertwistor

Abstract

Cite

Comments

Related papers