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 This email address is being protected from spambots. You need JavaScript enabled to view 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
