2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214988We 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.Latex file. 17 pages. A different decomposition for gamma matrices used. Journal versionHigh Energy Physics - Theorytext