Calibrated Geometries and Non Perturbative Superpotentials in M-Theory

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.

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

References in corpus (4)

• Nonlinear Instantons from Supersymmetric p-Branes
• Solitons, Superpotentials and Calibrations
• Superpotentials and Membrane Instantons
• AdS Calibrations

Cited by in corpus (6)

• Superpotentials for Vector Bundle Moduli
• Compactifying M-Theory to Four Dimensions
• Moduli Spaces and Brane Solitons for M-Theory Compactifications on Holonomy G_2 Manifolds
• Flux, Supersymmetry and M theory on 7-manifolds
• M2-branes wrapped on holomorphic curves
• Stringy Domain Walls of N=1, D=4 Supergravity