论文标题
在椭圆形的calabi-yau四倍上，带有最大$ h^{1,1} $
On the Elliptic Calabi-Yau Fourfold with Maximal $h^{1,1}$
论文作者
论文摘要
在本文中，我们明确地为椭圆形的calabi-yau四倍构建平滑的紧凑型基底，该基部是最大的$ h^{1,1} = 303 \，148 $。它是通过用$（e_8，e_8，e_8）$ collisions炸毁光滑的圆磨“种子”底座来生成的。其上的4D F理论压实模型具有最大的几何量规组，$ e_8^{2 \，561} \ times f_4^{7 \，576} \ times g_2^{20 \，168} \，168} \ times su（times s su（2） $ \ MATHCAL {N} = 1 $超级景观。我们还证明，至少有$ 1100^{15 \，048} \大约7.5 \ times 10^{45 \，766} $此基数三倍的flip和flop阶段。此外，我们发现4D F理论景观中的许多其他基本三倍，具有大$ H^{1,1} $也可以以类似的方式构造。
In this paper, we explicitly construct the smooth compact base threefold for the elliptic Calabi-Yau fourfold with the largest known $h^{1,1}=303\,148$. It is generated by blowing up a smooth toric "seed" base threefold with $(E_8,E_8,E_8)$ collisions. The 4d F-theory compactification model over it has the largest geometric gauge group, $E_8^{2\,561}\times F_4^{7\,576}\times G_2^{20\,168}\times SU(2)^{30\,200}$, and the largest number of axions, $181\,820$, in the known 4d $\mathcal{N}=1$ supergravity landscape. We also prove that there are at least $1100^{15\,048}\approx 7.5\times 10^{45\,766}$ different flip and flop phases of this base threefold. Moreover, we find that many other base threefolds with large $h^{1,1}$ in the 4d F-theory landscape can be constructed in a similar way as well.
