2004/12/31 by Thomas W. Grimm, Jan Louis · 7 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Calabi–Yau manifold #Compactification (mathematics) #Effective action #Geometry and complex manifolds #Holomorphic function #Instanton #Mathematical physics #Mathematics #Mirror symmetry #Moduli #Moduli space #Orientifold #Physics #Pure mathematics #Quantum mechanics #String theory #Superpotential #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2005.04.007
published as Nucl.Phys.B718:153-202,2005 · 51 pages, typos corrected
openalex publication_date 2005/04/29 · arxiv created 2005/05/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 G2 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.