
TL;DR
This paper investigates conditions for non-perturbative superpotential generation in F-theory flux compactifications, revealing limitations on volume modulus stabilization and implications for the rarity of metastable de Sitter vacua.
Contribution
It derives a necessary condition for superpotential generation in F-theory and shows volume moduli are not stabilized by certain non-perturbative effects in simple models.
Findings
Volume modulus not stabilized by abelian instantons or gaugino condensation
Necessary condition for superpotential generation in F-theory derived
Metastable de Sitter vacua are likely non-generic in large volume compactifications
Abstract
We consider the generation of a non-perturbative superpotential in F-theory compactifications with flux. We derive a necessary condition for the generation of such a superpotential in F-theory. For models with a single volume modulus, we show that the volume modulus is never stabilized by either abelian instantons or gaugino condensation. We then comment on how our analysis extends to a larger class of compactifications. From our results, it appears that among large volume string compactifications, metastable de Sitter vacua (should any exist) are non-generic.
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