FLAT TWISTOR SPACES, CONFORMALLY FLAT MANIFOLDS AND 4-DIMENSIONAL FIELD-THEORY

被引:8
|
作者
SINGER, MA
机构
[1] Mathematical Institute, Oxford
关键词
D O I
10.1007/BF02096555
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A definition is proposed of "four-dimensional conformal field theory" in which the Riemann surfaces of two-dimensional CFT are replaced by (Riemannian) conformally flat four-manifolds and the holomorphic functions are replaced by solutions of the Dirac equation. The definition is investigated from the point of view of twistor theory, allowing methods from complex analysis to be employed. The paper fills in the main mathematical details omitted from the preliminary announcement [15]. © 1990 Springer-Verlag.
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页码:75 / 90
页数:16
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