Calabi-Yau Manifolds with Large Volume Vacua

Abstract

We describe an efficient, construction independent, algorithmic test to determine whether Calabi--Yau threefolds admit a structure compatible with the Large Volume moduli stabilization scenario of type IIB superstring theory. Using the algorithm, we scan complete intersection and toric hypersurface Calabi-Yau threefolds with $2\le h^{1,1}\le 4$ and deduce that 418 among 4434 manifolds have a Large Volume Limit with a single large four-cycle. We describe major extensions to this survey, which are currently underway.

arXiv comment4 pages

References in corpus (10)

• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• GUTs in Type IIB Orientifold Compactifications
• General Analysis of LARGE Volume Scenarios with String Loop Moduli Stabilisation
• D-Branes at del Pezzo Singularities: Global Embedding and Moduli Stabilisation
• STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology
• Toric K3-Fibred Calabi-Yau Manifolds with del Pezzo Divisors for String Compactifications
• Algorithmic Algebraic Geometry and Flux Vacua
• A Simple Introduction to Grobner Basis Methods in String Phenomenology

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