Castellano, Ruiz, and Valenzuela recently observed a remarkable “pattern” in infinite-distance limits of moduli spaces in quantum gravity, which relates the field space variation of the mass of the lightest tower of particles to the field space variation of the species scale. In this work, we show how a version of this pattern can be proven to hold for BPS particles and strings throughout the vector multiplet moduli space of a 5d supergravity theory, even in regions where the particle masses and string tensions are substantially modified relative to their asymptotic behavior in the infinite-distance limits. This suggests that a suitably defined version of the pattern may hold not merely in the asymptotic limits of moduli space, but in the interior as well.

中文翻译：

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5d 模空间内部图案的持久性

Castellano、Ruiz 和 Valenzuela 最近在量子引力模空间的无限距离极限中观察到了一个显着的“模式”，它将最轻的粒子塔质量的场空间变化与物种尺度的场空间变化联系起来。在这项工作中，我们展示了如何证明该模式的一个版本适用于整个 5 维超重力理论的向量多重模空间中的 BPS 粒子和弦，即使在粒子质量和弦张力相对于其粒子质量和弦张力大幅修改的区域中也是如此。无限距离极限内的渐近行为。这表明，适当定义的模式版本不仅可以在模空间的渐近极限中成立，而且在内部也成立。