Kahler Moduli Inflation in Type IIB Compactifications: A random tumble through the Calabi-Yau landscape

Abstract

In this paper we present an initial exploration of the Calabi-Yau landscape in the context of Kahler moduli inflation. We review how the slow-roll requirement on the scalar potential translates to a geometric constraint on the Kahler geometry of the vacuum. This constraint leads to a hard bound on the moduli space geometry and we consider the effects of this constraint on the string landscape that arises in type IIB string compactifications on an O3/O7 orientifold. Most notably we find that the inflationary constraint is independent of the moduli space dimension and only 6.57% of geometries inspected support high-scale Kahler moduli inflation.

8 pages, 3 figures, comments welcomed. Version 2 -- fixed typos, added references

References in corpus (10)

• Flux Compactification
• General inflaton potentials in supergravity
• Non-thermal Dark Matter and the Moduli Problem in String Frameworks
• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
• Compactified String Theories -- Generic Predictions for Particle Physics
• Constraints for the existence of flat and stable non-supersymmetric vacua in supergravity
• Moduli Stabilisation and Applications in IIB String Theory
• Heavy Tails in Calabi-Yau Moduli Spaces
• De Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications
• Early Universe Cosmology, Effective Supergravity, and Invariants of Algebraic Forms

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