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Particles and Fields


Eur. Phys. J. C 18, 619-624
DOI: 10.1007/s100520100555

Calibrated geometries and non-perturbative superpotentials in M-theory

R. Hernández

The Abdus Salam International Center for Theoretical Physics, Strada Costiera, 11. 34014 Trieste, Italy

rafa@ictp.trieste.it

(Received: 28 June 2000 / Published online: 21 December 2000 - © Springer-Verlag 2000)

Abstract
We consider non-perturbative effects in M-theory compactifications on a seven-manifold of G2 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.



© Società Italiana di Fisica, Springer-Verlag 2001