Construct full F-theory solutions with complete moduli stabilization

Construct explicit F-theory compactifications corresponding to the six-dimensional gauged supergravity considered here in which all moduli, including those of the hypermultiplet sector and the Calabi–Yau volume, are stabilized in concrete models yielding four-dimensional de Sitter vacua.

Background

The authors obtain 4D de Sitter solutions in a 6D supergravity derived from F-theory and emphasize the importance of embedding these in full higher-dimensional solutions where all moduli are stabilized.

Achieving complete moduli stabilization in explicit F-theory models would validate the 6D EFT approach and address typical concerns about runaway directions and the Dine–Seiberg problem.