论文标题
calabi-yau $ d $ folds的模量空间作为重力 - 插入式
Moduli spaces of Calabi-Yau $d$-folds as gravitational-chiral instantons
论文作者
论文摘要
在Swampland计划的激励下，我们表明，复杂尺寸的Calabi-yau歧管的Weil-Petersson几何形状$ d \ leq4 $是引力Instanton（即具有重要的重力运动的欧几里得方程的有限用作解决方案）。更确切地说，Calabi-yau $ d $ -folds（$ d \ leq4 $）的模量几何形状描述了（e）Ads Einstein Gravity的Instantons耦合到标准的手性模型。 从Calabi-yau $ x $压缩的弦/M理论的低能物理学的角度来看，在其模量空间传播的各种字段是出现在有效的Lagrangian $ \ Mathscr {l} _ \ text {eff} $中的耦合。
Motivated by the swampland program, we show that the Weil-Petersson geometry of the moduli space of a Calabi-Yau manifold of complex dimension $d\leq4$ is a gravitational instanton (i.e. a finite-action solution of the Euclidean equations of motion of gravity with matter). More precisely, the moduli geometry of Calabi-Yau $d$-folds ($d\leq4$) describes instantons of (E)AdS Einstein gravity coupled to a standard chiral model. From the point of view of the low-energy physics of string/M-theory compactified on the Calabi-Yau $X$, the various fields propagating on its moduli space are the couplings appearing in the effective Lagrangian $\mathscr{L}_\text{eff}$.
