An unconventional supergravity

Details An unconventional supergravity An unconventional supergravity

2002-02-18

arxiv.org/abs/hep-th/0202115v1

S. Duplij and J. Wess (eds.) Noncommutative structures in mathematics and physics. Proc. NATO Advanced Research Workshop, Kiev

Physics

High Energy Physics

High Energy Physics - Theory

5 p., Latex

Scientific paper

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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