Abstract
We study moduli stabilization of the F-theory compactified on an elliptically fibered Calabi–Yau fourfold. Our setup is based on the mirror symmetry framework including brane deformations. The complex structure moduli dependence of the resulting 4D N=1 effective theory is determined by the associated fourfold period integrals. By turning on appropriate G-fluxes, we explicitly demonstrate that all the complex structure moduli fields can be stabilized around the large complex structure point of the F-theory fourfold.
Highlights
String theory compactifications to four dimensional spacetime provide a multitude of massless scalar fields
It has been known that the effective superpotential and the axio-dilaton dependence of Type IIB compactifications can be reformulated into a geometry and fluxes in F-theory
Exact calculations in such a situation has been studied in a framework of mirror symmetry with or without branes
Summary
String theory compactifications to four dimensional spacetime provide a multitude of massless scalar fields. The recent observational data for the acceleration of the universe motivated us to construct de Sitter vacua from a UV-complete quantum theory of gravity Under these circumstances, the moduli stabilization and comprehensive study of flux vacua have become one of the major topics in string theory. Inclusion of open string sector in the presence of the brane for the compact Calabi-Yau manifolds was initiated in [2] and has been subsequently applied in many contexts. In this framework, a brane is fixed on a specific submanifold and the system does not have a continuous open string moduli dependence. For other earlier attempts in a similar spirit, see [9,10,11] initiated the M-theory and F-theory compactifications with G4 fluxes, [12] investigated the orientifold limit [13, 14] of F-theory and [15] based on the K3× K3 backgrounds
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