Systematics of Type IIA moduli stabilisation

Abstract

We analyse the flux-induced scalar potential for type IIA orientifolds in the presence of $p$-form, geometric and non-geometric fluxes. Just like in the Calabi-Yau case, the potential presents a bilinear structure, with a factorised dependence on axions and saxions. This feature allows one to perform a systematic search for vacua, which we implement for the case of geometric backgrounds. Guided by stability criteria, we consider configurations with a particular on-shell F-term pattern, for which we derive a no-go result for de Sitter extrema. We classify branches of supersymmetric and non-supersymmetric vacua, and argue that the latter are perturbatively stable for a large subset of them. Our solutions reproduce and generalise previous results in the literature, obtained either from the 4d or 10d viewpoint.

41 pages + appendices, 2 figures; v2: minor corrections and references added

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• A Gravitino Distance Conjecture
• Exploring The Holographic Swampland
• Comments on classical AdS flux vacua with scale separation
• Integer Conformal Dimensions for Type IIA Flux Vacua
• Moduli Stabilization in Asymptotic Flux Compactifications
• Asymptotic Accelerated Expansion in String Theory and the Swampland
• Pure Supersymmetric AdS and the Swampland
• Aspects of AdS flux vacua with integer conformal dimensions
• Tachyonic de Sitter solutions of 10d type II supergravities
• Revisiting Dudas-Mourad compactifications
• AdS scale separation and the distance conjecture
• BIonic membranes and AdS instabilities
• Sharpening the Boundaries Between Flux Landscape and Swampland by Tadpole Charge
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• Type IIB flux compactifications with $h^{1,1}=0$
• Systematics of perturbatively flat flux vacua
• On stable type IIA de-Sitter vacua with geometric flux
• New instabilities for non-supersymmetric AdS${}_4$ orientifold vacua
• Analytics of type IIB flux vacua and their mass spectra
• Taxonomy of scalar potential with U-dual fluxes
• On the limitations of non-geometric fluxes to realize dS vacua
• Symplectic formulation of the type IIB scalar potential with U-dual fluxes
• Reading-off the non-geometric scalar potentials with U-dual fluxes
• Systematic exploration of the non-geometric flux landscape