On stable type IIA de-Sitter vacua with geometric flux

TL;DR

This paper constructs stable de-Sitter and Anti-de Sitter solutions in type IIA string theory with geometric fluxes, stabilizing moduli and using D-term effects to achieve positive cosmological constant without tachyons.

Contribution

It introduces a new class of stable dS solutions in type IIA compactifications with geometric fluxes, stabilized moduli, and D-term uplift mechanisms.

Findings

Stable tachyon-free AdS and dS solutions found.

dS solutions achieved via D-term effects from geometric fluxes.

Flux scaling allows control over the solutions in large volume and weak coupling regimes.

Abstract

We present a class of tachyon-free (stable) AdS as well as dS solutions in the context of type IIA orientifold compactifications. This model is based on a type IIA setting having geometric flux which, in addition, also includes the usual NS-NS three-form flux ${\rm H}_3$ and the RR $p$-form fluxes ${\rm F}_p$ for $p \in \{0, 2, 4, 6\}$. Although all the saxionic moduli are stabilized, there remains a combination of the RR axions which is flat, and the dS solution is realized through the $D$-term effects induced by the geometric fluxes, without which one can only have AdS solutions. Using flux scaling arguments we also discuss how to engineer a parametric control in these models, in the sense of realizing the respective AdS/dS solutions in large volume, weak string-coupling as well as large complex-structure regime. We also discuss open possibilities (e.g. about the unknown status on having the complete set of Bianchi identities) under which such tachyon-free dS solutions may or may not be viable.