Superconformally flat superspace

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Conformal Mapping, Gravitation Theory, Space-Time Functions, Minkowski Space, Set Theory, Yang-Mills Theory

Scientific paper

The problem analagous to the conformal mapping of Riemannian manifolds to flat spaces is solved for N = 1 supergravity with the help of supertwistor methods. It is proved that the vanishing of the Weyl superfield provides a necessary and sufficient condition for a (4/4)-dimensional supermanifold with a superconformal structure to be locally superconformally diffeomorphic to the N = 1 Minkowski superspace.

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