Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds

TL;DR

This paper examines the challenges of achieving moduli stabilization and chirality in Type IIB orientifold models with MSSM-like sectors, highlighting the influence of chiral sectors on non-perturbative effects and D-term potentials.

Contribution

It demonstrates that the common approach of stabilizing all moduli first and then adding the Standard Model sector is flawed due to chiral sector effects on non-perturbative dynamics.

Findings

Chiral sectors affect non-perturbative effects and D-term potentials.

Controllable Kaehler moduli stabilization is possible with combined F- and D-terms.

Analysis of a specific Calabi-Yau geometry for phenomenological viability.

Abstract

We investigate the general question of implementing a chiral MSSM like D-brane sector in Type IIB orientifold models with complete moduli stabilisation via F-terms induced by fluxes and space-time instantons, respectively gaugino condensates. The prototype examples are the KKLT and the so-called large volume compactifications. We show that the ansatz of first stabilising all moduli via F-terms and then introducing the Standard Model module is misleading, as a chiral sector notoriously influences the structure of non-perturbative effects and induces a D-term potential. Focusing for concreteness on the large volume scenario, we work out the geometry of the swiss-cheese type Calabi-Yau manifold P_[1,3,3,3,5][15]_(3,75) and analyse whether controllable and phenomenologically acceptable Kaehler moduli stabilisation can occur by the combination of F- and D-terms.