Small flux superpotential in F-theory compactifications

Abstract

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.

arXiv comment15 pages, v2: published version

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Cited by in corpus (12)

• Small Cosmological Constants in String Theory
• F-theory flux vacua at large complex structure
• Moduli Stabilization in Asymptotic Flux Compactifications
• Residual flavor symmetry breaking in the landscape of modular flavor models
• D(-1)-Instanton Superpotential In String Theory
• Mass Hierarchies and Quantum Gravity Constraints in DKMM-refined KKLT
• Systematics of perturbatively flat flux vacua
• Remarks on the effects of quantum corrections on moduli stabilization and de Sitter vacua in type IIB string theory
• Completing the D7-brane local gaugino action
• On the Search for Low $W_0$
• Analytic Periods via Twisted Symmetric Squares
• Stringy constraints on primordial electromagnetic fields in axion inflation