The Minkowski and conformal superspaces

Details The Minkowski and conformal superspaces The Minkowski and conformal superspaces

2006-09-28

arxiv.org/abs/math/0609813v2

J.Math.Phys.48:113505,2007

Mathematics

Rings and Algebras

AMS LaTeX, 44 pages

Scientific paper

10.1063/1.2799262

We define complex Minkowski superspace in 4 dimensions as the big cell inside a complex flag supermanifold. The complex conformal supergroup acts naturally on this super flag, allowing us to interpret it as the conformal compactification of complex Minkowski superspace. We then consider real Minkowski superspace as a suitable real form of the complex version. Our methods are group theoretic, based on the real conformal supergroup and its Lie superalgebra.

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