On the limitations of non-geometric fluxes to realize dS vacua

Abstract

In this paper, we perform a systematic and analytical exploration of de Sitter conditions in type IIA compactifications with (non-)geometric fluxes along with the standard NS-NS and RR $p$-form fluxes. Exploiting the fact that the F-term scalar potential can be written as a bilinear form, we start by studying the most generic case. We find four conditions that the scalar fields and fluxes must satisfy to achieve de Sitter vacua. Particularizing to different configurations, we recover and extend previous results in the literature. We then impose an Ansatz in which the F-terms are proportional to the respective Kähler derivatives. In this set-up we are able to derive additional constraints and to classify the possible dS no-go scenarios in terms of eight axionic fluxes. Individually considering that any of these fluxes can be vanishing or non-vanishing leads to a total of 256 flux configurations. We find that 227 of these 256 possibilities result in a dS no-go scenario. The remaining 29 flux configurations, a priori, do not lead to dS no-go cases and would deserve further investigation.

v2: 41 pages, minor updates, published version

References in corpus (22)

• On the Geometry of the String Landscape and the Swampland
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• The Swampland: Introduction and Review
• Inflationary Constraints on Type IIA String Theory
• Progress in D-brane model building
• Locally stable non-supersymmetric Minkowski vacua in supergravity
• On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• On Classical de Sitter Vacua in String Theory
• Lectures on Nongeometric Flux Compactifications
• Minimal Simple de Sitter Solutions
• O-plane Backreaction and Scale Separation in Type IIA Flux Vacua
• Type-IIA flux compactifications and N=4 gauged supergravities
• Toroidal Orientifolds in IIA with General NS-NS Fluxes
• Open string multi-branched and Kahler potentials
• D-Terms from Generalized NS-NS Fluxes in Type II
• The effective action of D6-branes in N=1 type IIA orientifolds
• Searching for Inflation in Simple String Theory Models: An Astrophysical Perspective
• Towards a Realistic Type IIA T^6/Z_4 Orientifold Model with Background Fluxes, Part 1: Moduli Stabilization
• $P$ fluxes and exotic branes
• Dimensional oxidation and modular completion of non-geometric type IIB action
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua