论文标题
超对称通量压实和卡拉比yau模块化
Supersymmetric Flux Compactifications and Calabi-Yau Modularity
论文作者
论文摘要
IIB字符串理论的通量压实将Calabi-yau模量空间中的特殊点促成(对)整体三型通量的选择。在本文中,我们提出超对称通量真空是模块化的。也就是说,对于在$ \ mathbb {q} $上定义的品种中产生的超对称磁通真空,我们将二维的Galois表示形式关联为我们认为是模块化的。我们通过检查$ \ Mathbb {p}^{4}(1,1,1,1,2,2,2)$上的八尖端上产生的通量真空,为我们的猜想提供了数值证据。
Flux compactification of IIB string theory associates special points in Calabi-Yau moduli space to choices of (pairs of) integral three-form fluxes. In this paper, we propose that supersymmetric flux vacua are modular. That is, to a supersymmetric flux vacuum arising in a variety defined over $\mathbb{Q}$, we associate a two-dimensional Galois representation that we conjecture to be modular. We provide numerical evidence for our conjecture by examining flux vacua arising on the octic hypersurface in $\mathbb{P}^{4}(1,1,2,2,2)$.