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arXiv · hep-th/0202115

An unconventional supergravity

Dimitry Leites·Pavel Grozman
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Abstract

We introduce and completely describe the analogues of the Riemann curvature tensor for the curved supergrassmannian of the passing through the origin (0|2)-dimensional subsupermanifolds in the (0|4)-dimensional supermanifold with the preserved volume form. The underlying manifold of this supergrassmannian is the conventional Penrose's complexified and compactified version of the Minkowski space, i.e., the Grassmannian of 2-dimensional subspaces in the 4-dimensional space. The result provides with yet another counterexample to Coleman-Mandula's theorem.

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Dimitry Leites, Pavel Grozman. 2002-02-18. An unconventional supergravity. https://arxiv.org/abs/hep-th/0202115

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