On stable type IIA de-Sitter vacua with geometric flux

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 ${\mathrm{H}}_3$ and the RR $p$-form fluxes ${\mathrm{F}}_p$ 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.

arXiv comment33 pages + appendix, arXiv admin note: may involve some minor text overlap with arXiv:1909.07391, arXiv:1909.08630 and arXiv:1909.10993; v2: 36 pages, overall improvement and consolidation of section 5 without change of conclusion, typos fixed and references added; v3: 20 pages, improved presentation, title changed, published version

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