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Zusammenfassung:
We consider compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes, which leave at least four supercharges unbroken. We focus especially on the case, where the 7-manifold supports two spinors which are SU(3) singlets and the fluxes appear as specific SU(3) structures. We derive the constraints on the fluxes imposed by supersymmetry. The resulting 4-dimensional superpotential has, in addition to the known flux contributions, a torsion part due to the non-Kählerian geometry of the internal space.
