Fluxes in M-theory on 7-manifolds and G structures

Abstract

We consider warp compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes and investigate the constraints imposed by supersymmetry. As long as the 7-manifold supports only one Killing spinor we infer from the Killing spinor equations that non-trivial 4-form fluxes will necessarily curve the external 4-dimensional space. On the other hand, if the 7-manifold has at least two Killing spinors, there is a non-trivial Killing vector yielding a reduction of the 7-manifold to a 6-manifold and we confirm that 4-form fluxes can be incorporated if one includes non-trivial SU(3) structures.

13 pages, Latex; minor changes & add references

References in corpus (2)

• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Mirror Symmetry in Generalized Calabi-Yau Compactifications

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