We investigate whether a class of models describing F-theory compactifications admits a specific type of flux vacua with an exponentially small vacuum expectation value of the superpotential, by generalizing a method recently developed in type IIB flux compactifications. First we clarify that a restricted choice of $G_4$-flux components reduces a general flux superpotential into a simple form, which promotes the existence of supersymmetric vacua with one flat direction at the perturbative level. Then we utilize the techniques of mirror symmetry to determine one-instanton corrections to the potential and investigate in detail the vacuum solutions of a particular model.

• Received 12 March 2021
• Accepted 25 May 2021

DOI:https://doi.org/10.1103/PhysRevD.103.126022

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Published by the American Physical Society