DKMM-精化KKLT中的质量等级和量子引力约束
Mass Hierarchies and Quantum Gravity Constraints in DKMM-refined KKLT
摘要：
我们仔细地重温了质量层次的KKLT方案与隆起长期从反D3膜在一个强烈的翘曲喉。首先，我们从Klebanov-Strassler几何中直接推导出通常称为“喉道拟合到体块中”的边界。通过Demirtas，Kim，McAllister和Moritz（DKMM）提出的机制生成超势$W_{0}$的小值，我们确定了两种可能的DKMM细化KKLT方案，用于稳定光的轴子模量。第一种情况破坏了预期的层次之间的体积和喉质量尺度，并意味着隆起的能量尺度大于物种尺度的有效理论在喉。此外，它需要一个不自然的大蝌蚪$N\sim 10^{7-8}$，这肯定与蝌蚪取消冲突。对于限制较少的第二种情况，在最乐观的假设下，可以以牺牲一个中等大小的蝌蚪$N\sim 10^{2-3}$为代价来控制层次结构。
英文摘要：
We carefully revisit the mass hierarchies for the KKLT scenario with an uplift term from an anti D3-brane in a strongly warped throat. First, we derive the bound resulting from what is usually termed "the throat fitting into the bulk" directly from the Klebanov-Strassler geometry. Generating the small value of the superpotential $W_{0}$ via the mechanism proposed by Demirtas, Kim, McAllister and Moritz (DKMM), we identify two possible DKMM-refined KKLT scenarios for stabilizing the light axio-dilaton modulus. The first scenario spoils the expected hierarchy between the bulk and the throat mass scales and implies that the energy scale of the uplift is larger than the species scale of the effective theory in the throat. Moreover it requires an unnaturally large tadpole $N\sim 10^{7-8}$ that is certainly in conflict with tadpole cancellation. For the less restricted second scenario, the hierarchy can be controlled at the expense of, under the most optimistic assumptions, an only moderately large tadpole $N\sim 10^{2-3}$.
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