Kähler moduli stabilization in semi-realistic magnetized orbifold models

Abstract

We study Kähler moduli stabilizations in semi-realistic magnetized D-brane models based on $Z_2\times Z_2^{\prime }$ toroidal orbifolds. In type IIB compactifications, 3-form fluxes can stabilize the dilaton and complex structure moduli fields, but there remain some massless closed string moduli fields, Kähler moduli. The magnetic fluxes generate Fayet-Iliopoulos terms, which can fix ratios of Kähler moduli. On top of that, we consider D-brane instanton effects to stabilize them in concrete D-brane models and investigate the brane configurations to confirm that the moduli fields can be stabilized successfully. In this paper, we treat two types of D-brane models. One is based on D9-brane systems respecting the Pati-Salam model. The other is realized in a D7-brane system breaking the Pati-Salam gauge group. We find suitable configurations where the D-brane instantons can stabilize the moduli fields within both types of D-brane models, explaining an origin of a small constant term of the superpotential which is a key ingredient for successful moduli stabilizations.

21 pages, 2 figures

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Cited by in corpus (7)

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• Classification of three generation models by orbifolding magnetized $T^2\times T^2$
• Quark and lepton flavor structure in magnetized orbifold models at residual modular symmetric points
• Radiative Kähler moduli stabilization
• Massless Spectra and Gauge Couplings at One-Loop on Non-Factorisable Toroidal Orientifolds
• F-term Moduli Stabilization and Uplifting
• One-loop vacuum energy in 10D super-Yang-Mills theory on magnetized tori with/without 4D N=1 supersymmetric completion