The Kreuzer-Skarke axiverse
The Kreuzer-Skarke axiverse
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DOI：
10.1007/jhep04(2020)138
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发表时间：
2018-08
影响因子：
5.4
通讯作者：
Mehmet Demirtas;Cody Long;Liam McAllister;Michael Stillman
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文献类型：
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作者：
Mehmet Demirtas;Cody Long;Liam McAllister;Michael Stillman
研究了Calabi-Yau三重超曲面的拓扑性质。我们对kreuze - skarke表中的多面体进行三角剖分，得到了200万个三倍X，其中包括所有240≤h 1,1≤491的多面体。我们证明了X的Kähler锥在大h 1,1时非常窄，因此，X上弦紧化中α '膨胀的控制与超轻轴子的存在有关。如果每条有效曲线的弦单位体积≥1，则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，标为（h1,1） p，根据所讨论的循环类型，其值为3 > p > 7。因此，来自包裹这些循环的膜的瞬子被高度抑制。
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≤ h 1, 1≤ 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′ expansion in string compactifications on X is correlated with the presence of ultralight axions. If every effective curve has volume≥ 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≲ p≲ 7 depending on the type of cycle in question. Instantons from branes wrapping these cycles are thus highly suppressed.