MAJORANA-WEYL SPINORS AND SELF-DUAL GAUGE-FIELDS IN 2+2 DIMENSIONS

被引:53
作者
KETOV, SV [1 ]
NISHINO, H [1 ]
GATES, SJ [1 ]
机构
[1] HOWARD UNIV,DEPT PHYS & ASTRON,WASHINGTON,DC 20059
基金
美国国家科学基金会;
关键词
D O I
10.1016/0370-2693(93)90228-A
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The properties of Dirac gamma matrices in a four-dimensional space-time with the (2, 2) signature are studied. The basic spinors are classified, and the existence of Majorana-Weyl spinors is noted. Supersymmetry in 2 + 2 dimensions is discussed, and the existence of the real chiral scalar supermultiplet is discovered. Supersymmetric self-dual Yang-Mills theories and self-dual supergravity model in 2 + 2 dimensions, that are apparently relevant to integrable systems, are formulated for the first time.
引用
收藏
页码:323 / 330
页数:8
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