Flux, Supersymmetry and M theory on 7-manifolds

Abstract

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.

arXiv comment15 pages V2: Contribution to superpotential associated with M2-brane domain walls included. Corrected analysis in section two

References in corpus (2)

• Solitons, Superpotentials and Calibrations
• Calibrated Geometries and Non Perturbative Superpotentials in M-Theory

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