2013/01/31 by Dieter Lust, Dieter Lüst, Xu Zhang
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Calabi–Yau manifold #Compactification (mathematics) #Fibered knot #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematics #Moduli #Physics #Pure mathematics #hep-th
paper · pdf · doi:10.1007/jhep05(2013)051
23 pages, revised version contains additional refs. and improved discussion about string loop corrections, typo corrected
arxiv created 2013/02/07 · openalex publication_date 2013/05/01 · arxiv updated 2015/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.