Systematics of Type IIA moduli stabilisation

TL;DR

This paper systematically analyzes the scalar potential in type IIA flux compactifications, classifies vacua, and finds a no-go theorem for de Sitter solutions, extending previous results in the literature.

Contribution

It provides a systematic search for vacua in type IIA orientifolds with fluxes, classifies their stability, and generalizes prior findings on moduli stabilization.

Findings

No-go theorem for de Sitter vacua under certain conditions

Classification of supersymmetric and non-supersymmetric vacua

Perturbative stability of many non-supersymmetric solutions

Abstract

We analyse the flux-induced scalar potential for type IIA orientifolds in the presence of $p$-form, geometric and non-geometric fluxes. Just like in the Calabi-Yau case, the potential presents a bilinear structure, with a factorised dependence on axions and saxions. This feature allows one to perform a systematic search for vacua, which we implement for the case of geometric backgrounds. Guided by stability criteria, we consider configurations with a particular on-shell F-term pattern, for which we derive a no-go result for de Sitter extrema. We classify branches of supersymmetric and non-supersymmetric vacua, and argue that the latter are perturbatively stable for a large subset of them. Our solutions reproduce and generalise previous results in the literature, obtained either from the 4d or 10d viewpoint.