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arXiv · 2202.12840

On stable type IIA de-Sitter vacua with geometric flux

Pramod Shukla
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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.

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Pramod Shukla. 2022-02-25. On stable type IIA de-Sitter vacua with geometric flux. https://doi.org/10.1140/epjc/s10052-023-11361-w

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