克罗伊策-斯卡克轴向宇宙
The Kreuzer-Skarke Axiverse
摘要：
研究了大$h^{1,1}$上Calabi-Yau三重超曲面的拓扑性质.我们通过对Kreuzer-Skarke列表中的多面体进行三角剖分得到了200万个三重$X$，包括所有具有$240 \le h^{1,1}\le 491$的多面体。我们发现，在大的$h^{1,1}$的Kähler锥非常窄，因此，在$X$上弦紧化中对$α^{\prime}$展开的控制与超轻轴子的存在相关。如果每条有效曲线都有以串为单位的体积$\ge 1$，那么不可约有效曲线和除数的典型体积以及$X$本身的典型体积都标度为$(h^{1,1})^p$，其中$3\lesssim p \lesssim 7$取决于所讨论的循环类型。因此，包裹这些循环的膜的瞬子被高度抑制了。
英文摘要：
We study the topological properties of Calabi-Yau threefold hypersurfaces at large $h^{1,1}$. We obtain two million threefolds $X$ by triangulating polytopes from the Kreuzer-Skarke list, including all polytopes with $240 \le h^{1,1}\le 491$. We show that the Kähler cone of $X$ is very narrow at large $h^{1,1}$, and as a consequence, control of the $α^{\prime}$ expansion in string compactifications on $X$ is correlated with the presence of ultralight axions. If every effective curve has volume $\ge 1$ in string units, then the typical volumes of irreducible effective curves and divisors, and of $X$ itself, scale as $(h^{1,1})^p$, with $3\lesssim p \lesssim 7$ depending on the type of cycle in question. Instantons from branes wrapping these cycles are thus highly suppressed.
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