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.

中文翻译：

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F 理论紧缩中的小通量超势

我们通过推广最近在 IIB 型通量压缩中开发的方法，研究了一类描述 F 理论压缩的模型是否允许具有指数级小的超势真空期望值的特定类型的通量真空。首先我们澄清，有限的选择$G_4$-flux 分量将一般的通量超势简化为简单的形式，这促进了在扰动水平上具有一个平面方向的超对称真空的存在。然后我们利用镜像对称技术来确定对电位的一瞬间校正，并详细研究特定模型的真空解决方案。