论文标题
在大批量的情况下的拓扑约束
Topological Constraints in the LARGE-Volume Scenario
论文作者
论文摘要
我们详细介绍了关于Sitter Vacua在IIB型字符串理论的大批量场景中De Sitter Vacua自持够的结果的最新结果。特别是，我们分析了对扭曲，曲率和$ g_s $校正的控制在多大程度上取决于拓扑结构和紧凑型的方向/布雷恩数据。我们计算了这些校正大小的一般结合，该校正强烈约束D3 t。 The minimally required tadpole ranges from $\mathcal{O}(500)$ to $\mathcal{O}(10^6)$ or more and depends strongly on other data, in particular on the Euler number of the Calabi-Yau 3-fold, the triple-self-intersection and Euler numbers of the small divisor and the coefficient $a_s$ appearing in the non-perturbative超电势。我们提出的论点表明，满足这些约束非常具有挑战性，也许是不可能的。
We elaborate on recent results regarding the self-consistency of de Sitter vacua in the LARGE-volume scenario of type IIB string theory. In particular, we analyze to what extent the control over warping, curvature and $g_s$ corrections depends on the topology and the orientifold/brane data of a compactification. We compute a general bound on the magnitude of these corrections which strongly constrains the D3 tadpole. The minimally required tadpole ranges from $\mathcal{O}(500)$ to $\mathcal{O}(10^6)$ or more and depends strongly on other data, in particular on the Euler number of the Calabi-Yau 3-fold, the triple-self-intersection and Euler numbers of the small divisor and the coefficient $a_s$ appearing in the non-perturbative superpotential. We give arguments suggesting that satisfying these constraints is very challenging and perhaps impossible.
