Moduli Stabilization with Non-Geometric Fluxes - Comments on Tadpole Contributions and de-Sitter Vacua

We study moduli stabilization for type IIB orientifold compactifications on Calabi-Yau three-folds with (non-)geometric fluxes. For this setting it is possible to stabilize all closed-string moduli classically without the need for non-perturbative contributions, and examples of stable de-Sitter constructions can be found in the literature which violate a prominent swampland conjecture. In this paper we derive general properties of non-geometric flux-compactifications, we argue that the contribution of fluxes to the tadpole cancellation conditions should be similar to D-branes (and not anti-D-branes), and we exclude supersymmetric Minkowski vacua for certain cases. We also reassess known stable de-Sitter constructions with (non-)geometric H-, F-, Q- and R-fluxes and argue that these are not consistent in string theory.

Automated summary

In this paper, we study moduli stabilization for type IIB orientifold compactifications on Calabi-Yau three-folds with (non-)geometric fluxes. We derive general properties of non-geometric flux-compactifications, argue for the contribution of fluxes to be similar to D-branes, and exclude supersymmetric Minkowski vacua for certain cases. Additionally, we reassess stable de-Sitter constructions with (non-)geometric H-, F-, Q- and R-fluxes and argue that they are not consistent in string theory.