LVS参数化蝌蚪约束
The LVS Parametric Tadpole Constraint
AI总结：
本文针对大体积场景在参数控制上的困难，识别出大体积导致浅AdS极小值和小上抬、进而需要大负蝌蚪荷这一核心问题，并给出控制最危险修正所需蝌蚪荷的明确公式，为未来几何搜索提出具体约束。
摘要：
用于IIB型弦德西特紧致化的大体积场景（LVS），至少在原则上能够很好地抵御各种未知修正。其原因在于，按照构造，卡拉比-丘体积是指数级大的。然而，正如最近所强调的，在实践中，最明确的模型反而处于参数控制的边界上。我们识别并参数化地量化了我们认为是这一困难背后主要问题的因素。即，大体积意味着浅的AdS极小值，因此上抬很小。后者如果依赖于喉部中的反D3膜，则需要大的负蝌蚪荷。作为我们的主要结果，我们提供了一个简单而明确的公式，说明为了控制最危险的修正，这个蝌蚪荷必须取什么值。基本要素是指定所期望控制质量的参数。我们评论了我们的约束与蝌蚪猜想之间的相互作用。我们还讨论了未来工作的方向，这些方向可能导致满足蝌蚪约束且具有更好控制的LVS构造，以及LVS可能存在的进一步挑战。因此，我们的公式为未来搜索和理解相关几何提出了一个非常具体的挑战。
英文摘要：
The large volume scenario (LVS) for de Sitter compactifications of the type IIB string is, at least in principle, well protected from various unknown corrections. The reason is that, by construction, the Calabi-Yau volume is exponentially large. However, as has recently been emphasised, in practice the most explicit models are rather on the border of parametric control. We identify and quantify parametrically what we believe to be the main issue behind this difficulty. Namely, a large volume implies a shallow AdS minimum and hence a small uplift. The latter, if it relies on an anti-D3 in a throat, requires a large negative tadpole. As our main result, we provide a simple and explicit formula for what this tadpole has to be in order to control the most dangerous corrections. The fundamental ingredients are parameters specifying the desired quality of control. We comment on the interplay between our constraint and the tadpole conjecture. We also discuss directions for future work which could lead to LVS constructions satisfying the tadpole constraint with better control, as well as further challenges that may exist for the LVS. Our formula then represents a very concrete challenge for future searches for and the understanding of relevant geometries.
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