论文标题
$ g_4 $通量，代数周期和复杂结构模量稳定
$G_4$ Flux, Algebraic Cycles and Complex Structure Moduli Stabilization
论文作者
论文摘要
我们构建了$ g_4 $通量，以稳定在费马特点的六元calabi-yau四倍的426个复数结构模量。研究通量稳定通常需要求解Picard-fuchs方程，对于许多模量的模型来说，这是不可行的。在这里，我们首先考虑复杂结构模量空间中的特定点，然后寻找将我们固定在那里的通量。我们展示了如何通过使用代数循环并分析平坦方向来构建此类通量。这是针对费马特点的四倍的六叶Yau详细讨论的，我们观察到M2 tAdpole取消和稳定所有模量的要求似乎存在张力。最后，我们应用结果表明，即使对称通量允许自动求解大多数F-Term方程，它们通常会导致平坦的方向。
We construct $G_4$ fluxes that stabilize all of the 426 complex structure moduli of the sextic Calabi-Yau fourfold at the Fermat point. Studying flux stabilization usually requires solving Picard-Fuchs equations, which becomes unfeasible for models with many moduli. Here, we instead start by considering a specific point in the complex structure moduli space, and look for a flux that fixes us there. We show how to construct such fluxes by using algebraic cycles and analyze flat directions. This is discussed in detail for the sextic Calabi-Yau fourfold at the Fermat point, and we observe that there appears to be tension between M2-tadpole cancellation and the requirement of stabilizing all moduli. Finally, we apply our results to show that even though symmetric fluxes allow to automatically solve most of the F-term equations, they typically lead to flat directions.
