标题： 渐近曲率发散和非引力理论 显示英文标题

标题： Asymptotic curvature divergences and non-gravitational theories

摘要： 我们分析了IIA弦理论紧致化到卡拉比-丘流形$X$上的矢量多态模空间的纯量曲率$R$在无限距离大体积极限下的发散性。 扩展先前的结果，我们将发散的起源分类，这些发散沿着实现从F-理论紧致化到$X$和/或新兴的异质弦理论极限的轨迹。 在所有情况下，曲率发散都可以追溯到一个在极限过程中与引力解耦的四维刚体场论。 这可以通过物种尺度$\Lambda_{\rm WGC} \equiv g_{\rm rigid} M_{\rm P}$和$\Lambda_{\rm sp}$的渐近关系$R \sim (\Lambda_{\rm WGC}/\Lambda_{\rm sp})^{2\nu}$来量化。 在紫外区，这个四维刚体场论成为了一个高维的强耦合刚体理论，并且同样与引力解耦。 这种紫外理论的本质编码在指数$\nu$中，它要么对应于五维SCFT（超共形场论），六维SCFT或者小弦理论。 显示英文摘要

摘要： We analyse divergences of the scalar curvature $R$ of the vector multiplet moduli space of type IIA string theory compactified on a Calabi--Yau $X$, along infinite-distance large volume limits. Extending previous results, we classify the origin of the divergence along trajectories which implement decompactifications to F-theory on $X$ and/or emergent heterotic string limits. In all cases, the curvature divergence can be traced back to a 4d rigid field theory that decouples from gravity along the limit. This can be quantified via the asymptotic relation $R \sim (\Lambda_{\rm WGC}/\Lambda_{\rm sp})^{2\nu}$, with $\Lambda_{\rm WGC} \equiv g_{\rm rigid} M_{\rm P}$ and $\Lambda_{\rm sp}$ the species scale. In the UV, the 4d rigid field theory becomes a higher-dimensional, strongly-coupled rigid theory that also decouples from gravity. The nature of this UV theory is encoded in the exponent $\nu$, and it either corresponds to a 5d SCFT, 6d SCFT or a Little String Theory.