Non-perturbative scalar potential inspired by type IIA strings on rigid CY

TL;DR

This paper derives a non-perturbative scalar potential from type IIA string compactifications on rigid Calabi-Yau manifolds, revealing stable axion vacua but instabilities elsewhere.

Contribution

It introduces an exact non-perturbative potential for all scalar fields based on D-instanton corrections, advancing moduli stabilization analysis in string theory.

Findings

Identifies a discrete set of axion vacua.

Decouples stability analysis into axion and non-axion sectors.

Finds instabilities in the non-axion sector.

Abstract

Motivated by a class of flux compactifications of type IIA strings on rigid Calabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, we derive a non-perturbative potential of all scalar fields from the exact D-instanton corrected metric on the hypermultiplet moduli space. Applying this potential to moduli stabilization, we find a discrete set of exact vacua for axions. At these critical points, the stability problem is decoupled into two subspaces spanned by the axions and the other fields (dilaton and Kahler moduli), respectively. Whereas the stability of the axions is easily achieved, numerical analysis shows instabilities in the second subspace.