2008/05/31 by Michele Cicoli, Joseph P. Conlon, Fernando Quevedo · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Fibration #Geometry #Gravitational singularity #Mathematical physics #Mathematics #Moduli #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #String (physics) #String theory #Superpotential #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/10/105
published as JHEP 0810:105,2008 · 29 pages + appendix, 7 figures, references added, version published on JHEP
arxiv created 2008/10/27 · openalex publication_date 2008/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
We study the topological conditions for general Calabi-Yaus to get a non-supersymmetric AdS exponentially large volume minimum of the scalar potential in flux compactifications of IIB string theory. We show that negative Euler number and the existence of at least one blow-up mode resolving point-like singularities are necessary and sufficient conditions for moduli stabilisation with exponentially large volumes. We also analyse the general effects of string loop corrections on this scenario. While the combination of alpha' and nonperturbative corrections are sufficient to stabilise blow-up modes and the overall volume, quantum corrections are needed to stabilise other directions transverse to the overall volume. This allows exponentially large volume minima to be realised for fibration Calabi-Yaus, with the various moduli of the fibration all being stabilised at exponentially large values. String loop corrections may also play a role in stabilising 4-cycles which support chiral matter and cannot enter directly into the non-perturbative superpotential. We illustrate these ideas by studying the scalar potential for various Calabi-Yau three-folds including K3 fibrations and briefly discuss the potential phenomenological and cosmological implications of our results.