Abstract
We define complex Minkowski superspace in four dimensions as the big cell inside a complex flag supermanifold. The complex conformal supergroup acts naturally on this superflag, 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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