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Small Flux Superpotentials for Type IIB Flux Vacua Close to a Conifold

Álvarez-García, R., Blumenhagen, R., Brinkmann, M., Schlechter, L.

2020MPG.PuRe (Max Planck Society)50 citations

Abstract

We generalize the recently proposed mechanism by Demirtas, Kim, McAllister and Moritz href{https://arxiv.org/abs/1912.10047}{arXiv:1912.10047} for the explicit construction of type IIB flux vacua with $|W_0|\\ll 1$ to the region close to the conifold locus in the complex structure moduli space. For that purpose tools are developed to determine the periods and the resulting prepotential close to such a codimension one locus with all the remaining moduli still in the large complex structure regime. As a proof of principle we present a working example for the Calabi-Yau manifold $\\mathbb{P}_{1,1,2,8,12}[24]$.

Topics & Concepts

ConifoldCodimensionModuli spaceLocus (genetics)Calabi–Yau manifoldManifold (fluid mechanics)PhysicsModuliType (biology)Theoretical physicsMathematical physicsPure mathematicsMathematicsQuantum mechanicsGeologyBrane cosmologyEngineeringChemistryPaleontologyGeneMechanical engineeringBiochemistryBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesGeometry and complex manifolds
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