Calibrated Geometries and Non Perturbative Superpotentials in M-Theory

Details Calibrated Geometries and Non Perturbative Superpotentials in M-Theory Calibrated Geometries and Non Perturbative Superpotentials in M-Theory

1999-12-03

arxiv.org/abs/hep-th/9912022v3

Eur.Phys.J.C18:619-624,2001

Physics

High Energy Physics

High Energy Physics - Theory

Latex file. 17 pages. A different decomposition for gamma matrices used. Journal version

Scientific paper

10.1007/s100520000555

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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