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We present a concrete and consistent procedure to generate one kind ofnon-perturbative superpotential, including the gaugino condensation correctionsand poly-instanton corrections, in type IIB orientifold compactification withfour Kahler Moduli. Then we use this kind of superpotential as well as thealphaprime-corrections to Kahler potential to fix all of the four Kahler modulion a general Calabi-Yau manifold with typical K3-fibred volume form. In ourconstruction, the considered Calabi-Yau threefolds are K3-fibred and admit atleast one del Pezzo surface and one W-surface. Searching through all existingfour dimensional reflexive lattice polytopes, we find 23 of them fulfilling allthe requirements.

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