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

TL;DR

This paper explores the geometric constraints on Kahler moduli inflation within the Calabi-Yau landscape of type IIB string theory, revealing that only a small fraction of geometries support high-scale inflation.

Contribution

It introduces a geometric constraint on the Kahler moduli space that impacts inflation viability and quantifies the rarity of suitable geometries in the landscape.

Findings

Only 6.57% of examined geometries support high-scale Kahler moduli inflation.

The inflationary constraint is independent of the moduli space dimension.

The geometric constraint imposes a hard bound on the Kahler moduli space.

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.