标题： M理论在K3上的渐近弱引力猜想 $\times$ K3 显示英文标题

标题： Asymptotic Weak Gravity Conjecture in M-theory on K3 $\times$ K3

摘要： 渐近WGC被提出作为塔式WGC的一个特例，它探测模空间中对应弱耦合规范理论区域的无限距离。 该猜想已在具有有限体积的卡拉比-丘三fold（CY3）上的M理论中被研究，这导致了一个5D有效QFT。 在本文中，我们将先前研究的范围扩展到更低的维度，特别是我们将获得的5D渐近WGC推广到与3D引力耦合的有效场论$EFT_{3D}$，该理论来源于卡拉比-丘四fold上的M理论紧化，特别强调K3 x K3。 我们发现CY4有三种纤维结构，分别标记为线类型-$T^2$，面类型-$S$和体类型-$V$。 产生的$EFT_{3D}$被显示具有由轻量和重量BPS以及非BPS粒子占据的2+2塔态。 为了确保3D渐近WGC的可行性，我们给出了显式的计算，以彻底测试弱耦合和强耦合规范理论区域的悬崖地带约束。 还包括规范对称性破缺和对偶对称性在内的其他方面也进行了研究。 显示英文摘要

摘要： The Asymptotic WGC has been proposed as a special case of the tower WGC that probes infinite distances in the moduli space corresponding to weakly coupled gauge regimes. The conjecture has been studied in M-theory on Calabi-Yau threefold (CY3) with finite volume inducing a 5D effective QFT. In this paper, we extend the scope of the previous study to encompass lower dimensions, particularly we generalise the obtained 5D asymptotic WGC to the effective field theory $EFT_{3D}$ coupled to 3D gravity that descends from M-theory compactified on Calabi-Yau fourfold with an emphasis on K3 x K3. We find that the CY4 has three fibration structures labelled as line Type-$T^2$, surface Type-$S$ and bulk Type-$V$. The emergent $EFT_{3D}$ is shown to have 2+2 towers of states occupied by light and heavy BPS as well as non BPS particles. To ensure the viability of the 3D Asymptotic WGC, we give explicit calculations to thoroughly test the swampland constraint for both the weakly and strongly gauge coupled regimes. Additional aspects, including the gauge symmetry breaking and duality symmetry are also investigated.