标题： D7模数 stabilization：蝌蚪危机 显示英文标题

标题： D7 Moduli Stabilization: The Tadpole Menace

摘要： D7-膜的模空间通过世界体积通量来稳定，这些通量对D3-膜蝌蚪项有贡献。我们在F-理论紧化到Type IIB极限下，计算了Calabi-Yau四折叠具有弱Fano基的情况下的这种贡献，并能够证明大量紧化景观中的不可能定理。当与D7世界体积通量对偶的曲线的亏格固定且模数量增加时，我们发现由通量产生的D3电荷增长速度比模数量的7/16还要快，这支持了Ref.~\cite{Bena:2020xrh}中提出的蝌蚪猜想。我们计算得到的诱导D3电荷下界在稳定通量对应的曲线亏格增加时会减小，但无法排除那些与高亏格高次数曲线对偶的通量配置。然而，我们论证说大多数这些通量具有非常高的曲率，这很可能超过弦尺度，除非是在非常大的（并且被实验排除的）紧化流形上。 显示英文摘要

摘要： D7-brane moduli are stabilized by worldvolume fluxes, which contribute to the D3-brane tadpole. We calculate this contribution in the Type IIB limit of F-theory compactifications on Calabi-Yau four-folds with a weak Fano base, and are able to prove a no-go theorem for vast swathes of the landscape of compactifications. When the genus of the curve dual to the D7 worldvolume fluxes is fixed and the number of moduli grows, we find that the D3 charge sourced by the fluxes grows faster than 7/16 of the number of moduli, which supports the Tadpole Conjecture of Ref.~\cite{Bena:2020xrh}. Our lower bound for the induced D3 charge decreases when the genus of the curves dual to the stabilizing fluxes increase, and does not allow to rule out a sliver of flux configurations dual to high-genus high-degree curves. However, we argue that most of these fluxes have very high curvature, which is likely to be above the string scale except on extremely large (and experimentally ruled out) compactification manifolds.