WEAKLY-coupled IIA Flux Compactifications

TL;DR

This work investigates weakly coupled type IIA flux compactifications on Calabi-Yau orientifolds that are mirror to IIB LARGE-volume models. By combining fluxes, α' corrections, and non-perturbative effects, the authors achieve complete moduli stabilization in non-supersymmetric AdS vacua with exponentially small string coupling, and demonstrate uplift to de Sitter space with D6-branes, preserving calculable control over the expansions. The analysis includes both tree-level and corrected Kähler sectors, shows the necessity of α' corrections to fix Kähler moduli, and extends to complex-structure moduli stabilization via non-perturbative effects, mirroring LVS behavior. They provide explicit uplift mechanisms and examples illustrating de Sitter vacua, and discuss inflationary possibilities through complex-structure moduli, highlighting the phenomenological relevance of TeV-scale SUSY breaking and an intermediate string scale under the mirror map. Overall, the paper establishes a coherent IIA counterpart to LVS with robust moduli stabilization and cosmological applications.

Abstract

We study compactifications of type IIA string theory on Calabi-Yau manifolds that are mirror to a subset of the type IIB LARGE-volume models. A combination of flux, alpha' corrections and non-perturbative effects stabilises the moduli in a non-supersymmetric AdS vacuum. This vacuum has the feature that the (ten-dimensional) string coupling is exponentially small which can naturally lead to a TeV supersymmetry breaking scale with an intermediate string scale. The AdS vacuum can be uplifted to a dS one through the introduction of D6 branes, and complex-structure modular inflation can be realised.

Figures (2)

• Figure 1: The AdS minimum from above and below with $x=u_s$ and $y=\mathrm{ln}\;\mathcal{V}'$. The yellow/orange plane is at $V=-2\times 10^{-16}$.
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