N=31, D=11

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages

Scientific paper

10.1088/1126-6708/2007/02/043

We show that eleven-dimensional supergravity backgrounds with thirty one supersymmetries, N=31, admit an additional Killing spinor and so they are locally isometric to maximally supersymmetric ones. This rules out the existence of simply connected eleven-dimensional supergravity preons. We also show that N=15 solutions of type I supergravities are locally isometric to Minkowski spacetime.

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