Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-12-22
Nucl.Phys.B718:153-202,2005
Physics
High Energy Physics
High Energy Physics - Theory
51 pages, typos corrected
Scientific paper
10.1016/j.nuclphysb.2005.04.007
The N=1 effective action for generic type IIA Calabi-Yau orientifolds in the presence of background fluxes is computed from a Kaluza-Klein reduction. The Kahler potential, the gauge kinetic functions and the flux-induced superpotential are determined in terms of geometrical data of the Calabi-Yau orientifold and the background fluxes. The moduli space is found to be a Kahler subspace of the N=2 moduli space and shown to coincide with the moduli space arising in compactification of M-theory on a specific class of G_2 manifolds. The superpotential depends on all geometrical moduli and vanishes at leading order when background fluxes are turned off. The N=1 chiral coordinates linearize the appropriate instanton actions such that instanton effects can lead to holomorphic corrections of the superpotential. Mirror symmetry between type IIA and type IIB orientifolds is shown to hold at the level of the effective action in the large volume - large complex structure limit.
Grimm Thomas W.
Louis Jan
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