Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications

TL;DR

This paper analyzes the large volume limit of scalar potentials in Calabi-Yau flux compactifications, revealing stable non-supersymmetric AdS and dS vacua with fixed moduli, influenced by alpha' corrections.

Contribution

It provides a systematic study of moduli stabilization at large volume, demonstrating stable vacua with fixed moduli and flux-independent gravitino mass, including explicit examples.

Findings

Existence of non-supersymmetric AdS minima at large volume

Stable de Sitter uplift with tachyon-free vacua

Explicit computations for a specific Calabi-Yau manifold

Abstract

We study the large volume limit of the scalar potential in Calabi-Yau flux compactifications of type IIB string theory. Under general circumstances there exists a limit in which the potential approaches zero from below, with an associated non-supersymmetric AdS minimum at exponentially large volume. Both this and its de Sitter uplift are tachyon-free, thereby fixing all Kahler and complex structure moduli, which has been difficult to achieve in the KKLT scenario. Also, for the class of vacua described in this paper, the gravitino mass is independent of the flux discretuum, whereas the ratio of the string scale to the 4d Planck scale is hierarchically small but flux dependent. The inclusion of alpha' corrections plays a crucial role in the structure of the potential. We illustrate these ideas through explicit computations for a particular Calabi-Yau manifold.