Maximal Supersymmetry in Eleven-Dimensional Supergravity Revisited and Chirotopes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, Latex

Scientific paper

We analyze maximal supersymmetry in eleven-dimensional supergravity from the
point of view of the oriented matroid theory. The mathematical key tools in our
discussion are the Englert solution and the chirotope concept. We argue that
chirotopes may provide other solutions not only for eleven-dimensional
supergravity but for any higher dimensional supergravity theory.

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