中文

The $\theta$-twistor versus the supertwistor

数学物理 2007-05-23 v1 广义相对论与量子宇宙学 math.MP 辛几何

摘要

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

引用

@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}
}

备注

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