Flux, Supersymmetry and M theory on 7-manifolds

Details Flux, Supersymmetry and M theory on 7-manifolds Flux, Supersymmetry and M theory on 7-manifolds

2000-07-26

arxiv.org/abs/hep-th/0007213v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages V2: Contribution to superpotential associated with M2-brane domain walls included. Corrected analysis in section two

Scientific paper

Various aspects of low energy M theory compactified to four dimensions are considered. If the supersymmetry parameter is parallel in the unwarped metric, then supersymmetry requires that the warp factor is trivial, the background four-form field strength is zero and that the internal 7-manifold has $G_2$ holonomy (we assume the absence of boundaries and other impurities). A proposal of Gukov - extended here to include M2-brane domain walls - for the superpotential of the compactified theory is shown to yield the same result. Finally, we make some speculative remarks concerning higher derivative corrections and supersymmetry breaking.

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