Twistor spinors with zero on lorentzian 5-space

被引：3
|
作者：
Leitner, Felipe [1 ]
机构：
[1] Univ Stuttgart, Inst Geometrie & Topol, D-70569 Stuttgart, Germany
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 275卷 / 03期
关键词：
D O I：
10.1007/s00220-007-0326-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present in this paper a C-1- metric of Lorentzian signature ( 1, 4) on an open neighbourhood of the origin in R-5, which admits a solution to the twistor equation for spinors with a unique isolated zero at the origin. The metric is not conformally flat in any neighbourhood of the origin and the associated conformal Killing vector to the twistor generates a one-parameter group of essential conformal transformations. The construction is based on the Eguchi-Hanson metric in dimension 4.
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页码：587 / 605
页数：19
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