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arXiv · hep-th/9912022

Calibrated Geometries and Non Perturbative Superpotentials in M-Theory

Rafael Hernandez
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Abstract

We consider non perturbative effects in M-theory compactifications on a seven-manifold of G_2 holonomy arising from membranes wrapped on supersymmetric three-cycles. When membranes are wrapped on associative submanifolds they induce a superpotential that can be calculated using calibrated geometry. This superpotential is also derived from compactification on a seven-manifold, to four dimensional Anti-de Sitter spacetime, of eleven dimensional supergravity with non vanishing expectation value of the four-form field strength.

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Rafael Hernandez. 2000-12-14. Calibrated Geometries and Non Perturbative Superpotentials in M-Theory. https://doi.org/10.1007/s100520000555

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