On stable type IIA de-Sitter vacua with geometric flux

Pramod Shukla

doi:10.1140/epjc/s10052-023-11361-w

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 196
https://doi.org/10.1140/epjc/s10052-023-11361-w

Regular Article - Theoretical Physics

On stable type IIA de-Sitter vacua with geometric flux

Pramod Shukla¹^,2^,3^a

¹ ICTP, Strada Costiera 11, 34151, Trieste, Italy
² Department of Physics, University of Allahabad, 211002, Prayagraj, India
³ Department of Physics, Unified Academic Campus, Bose Institute, EN 80, Sector V, Bidhannagar, 700 091, Kolkata, India

^a pshukla@jcbose.ac.in

Received: 23 November 2022
Accepted: 24 February 2023
Published online: 6 March 2023

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 $H_{3}$ $\textrm{H}_3$ and the RR p-form fluxes $F_{p}$ $\textrm{F}_p$ for $p \in {0, 2, 4, 6}$ $p \in \{0, 2, 4, 6\}$ . 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.

© The Author(s) 2023

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