Four Kahler Moduli Stabilisation in type IIB Orientifolds with K3-fibred Calabi-Yau threefold compactification

TL;DR

This paper develops a method to stabilize four Kahler moduli in type IIB orientifold compactifications on K3-fibred Calabi-Yau threefolds, incorporating non-perturbative effects and corrections to achieve full moduli stabilization.

Contribution

It introduces a concrete procedure for generating non-perturbative superpotentials with gaugino and poly-instanton corrections in a specific compactification setting.

Findings

Identifies 23 suitable K3-fibred Calabi-Yau threefolds with required features.

Demonstrates full stabilization of four Kahler moduli using the proposed superpotential.

Provides a systematic search through reflexive lattice polytopes for compatible geometries.

Abstract

We present a concrete and consistent procedure to generate one kind of non-perturbative superpotential, including the gaugino condensation corrections and poly-instanton corrections, in type IIB orientifold compactification with four Kahler Moduli. Then we use this kind of superpotential as well as the alphaprime-corrections to Kahler potential to fix all of the four Kahler moduli on a general Calabi-Yau manifold with typical K3-fibred volume form. In our construction, the considered Calabi-Yau threefolds are K3-fibred and admit at least one del Pezzo surface and one W-surface. Searching through all existing four dimensional reflexive lattice polytopes, we find 23 of them fulfilling all the requirements.