Extension of stabilization mechanisms to models with Kähler moduli

Investigate whether the higher-order flux-stabilization mechanisms and isolated four-dimensional N=1 Minkowski vacua found in h^{1,1}=0 Landau–Ginzburg orientifolds persist when Kähler moduli are present, by constructing and analyzing analogous compactifications with a Kähler sector.

Background

The showcased LG models have h{1,1}=0 and therefore no Kähler moduli, which simplifies the stabilization problem to the complex-structure sector and the axio-dilaton. The author asks whether the observed mechanisms extend to settings with Kähler moduli, which would broaden the relevance of these results.

Answering this would bridge the gap between highly symmetric interior points and more generic compactifications, and clarify whether the observed successes are special to rigid mirrors or generic to broader classes of non-geometric backgrounds.

References

Despite the recent progress, several questions remain open. A third question is how special the absence of K\"ahler moduli really is. The $h{1,1}=0$ models are ideal for isolating the complex-structure problem, but ultimately one would like to know whether similar mechanisms can survive once a K\"ahler sector is present.

— AI usage in string theory, a case study: String Vacua in the Interior of Moduli Space  (2604.01384 - Wrase, 1 Apr 2026) in Section 8 (Open questions and outlook)

This is an interesting check that can be performed once we have the full superpotential for the full blow-up moduli sector, which we leave for future work.

— G2 resolutions and backtracking in scale-separated AdS$_3$  (2610.13586 - Aggarwal et al., 9 Oct 2026) in Section 3.1, subsection “Blow-up moduli”