The swampland distance conjecture (SDC) addresses the ability of effective field theory to describe distant points in moduli space. It is natural to ask whether there is a local version of the SDC: is it possible to construct local excitations in an EFT that sample extreme regions of moduli space? In many cases such excitations exhibit horizons or instabilities, suggesting that there are bounds on the size and structure of field excitations that can be achieved in EFT. Static bubbles in ordinary Kaluza-Klein theory provide a simple class of examples: the KK radius goes to zero on a smooth surface, locally probing an in- finite distance point, and the bubbles are classically unstable against radial perturbations. However, it is also possible to stabilize KK bubbles at the classical level by adding flux. We study the impact of imposing the Weak Gravity Conjecture (WGC) on these solutions, finding that a rapid pair production instability arises in the presence of charged matter with q/m ≳ 1. We also analyze 4d electrically charged dilatonic black holes. Small curvature at the horizon imposes a bound log ( M BH ) ,≳ | ∆𝜙 | , independent of the WGC, and the bound can be strengthened if the particle satisfying the WGC is sufficiently light. We conjecture that quantum gravity in asymptotically flat space requires a general bound on large localized moduli space excursions of the form | ∆𝜙 | ≲ | log( R Λ) | , where R is the size of the minimal region enclosing the excitation and Λ − 1 is the short-distance cutoff on local EFT. The bound is qualitatively saturated by the dilatonic black holes and Kaluza-Klein monopoles.

中文翻译：

---

Transplanckian 审查和局部沼泽距离猜想

沼泽距离猜想 (SDC) 解决了有效场论描述模空间中远距离点的能力。很自然地会问是否存在 SDC 的局部版本：是否有可能在 EFT 中构建局部激发来采样模空间的极端区域？在许多情况下，这种激发表现出视界或不稳定性，这表明在 EFT 中可以实现的场激发的大小和结构是有界限的。普通 Kaluza-Klein 理论中的静态气泡提供了一类简单的例子：KK 半径在光滑表面上趋于零，局部探测无限距离点，并且气泡在经典情况下对径向扰动是不稳定的。但是，也可以通过添加助焊剂将 KK 气泡稳定在经典水平。我们研究了弱引力猜想 (WGC) 对这些解的影响，发现在 q/m ≳ 1 的带电物质存在的情况下会出现快速的对产生不稳定性。我们还分析了 4d 带电膨胀黑洞。地平线上的小曲率强加了一个边界对数 (M BH ) ,≳ | Δ𝜙 | ，与 WGC 无关，如果满足 WGC 的粒子足够轻，则可以加强束缚。我们推测渐近平坦空间中的量子引力需要对形式 | 的大型局部模空间偏移的一般限制。Δ𝜙 | ≲ | 对数( R Λ) | ，其中 R 是包围激发的最小区域的大小，Λ - 1 是局部 EFT 的短距离截止。边界在质量上被膨胀黑洞和 Kaluza-Klein 单极子饱和。