Eur. Phys. J. C 18, 619-624
DOI: 10.1007/s100520100555
Calibrated geometries and non-perturbative superpotentials in M-theory
R. HernándezThe 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
