GRADED MANIFOLD THEORY AS THE GEOMETRY OF SUPERSYMMETRY

被引:24
作者
DELL, J [1 ]
SMOLIN, L [1 ]
机构
[1] HARVARD UNIV,LYMAN LAB PHYS,CAMBRIDGE,MA 02138
关键词
D O I
10.1007/BF01197186
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Building upon Kostant's graded manifold theory, we present a new way of introducing spinors into the spacetime manifold, by expanding the algebra of functions on spacetime to a graded algebra. The elements of differential geometry are generalized to accomodate the expanded algebra of functions and in this enriched geometry we find the elements of supersymmetry and of supergravity theory. The geometrical role of the supergravity fields is discussed and a derivation of their transformation rules is given. © 1979 Springer-Verlag.
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页码:197 / 221
页数:25
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