自下而上的 EFT 弦的积分缩放
Integral Scaling for EFT Strings from the Bottom-Up
AI总结：
研究 4d $\mathcal{N}=1$ 理论中 EFT 弦的积分缩放猜想，通过膜分类规则分类对偶框架类型，确定候选者并测试积分缩放，发现 $w\leq 3$ 成立，还找到振子模式相关证据，且明确 $w = 1$ 与微扰弦极限的关系并与多种理论紧致化作比较。
AI中文摘要：
在 4d $\mathcal{N}=1$ 理论中 EFT 弦的核心附近，标量被动态驱动到无限场距离，并且一系列态变得很轻，其质量以普朗克单位下的弦张力按 $m^2\sim \mathcal{T}^{\,w}$ 缩放。根据积分缩放猜想，$w$ 仅取 1、2 和 3 值。本文研究该猜想如何从与涌现弦猜想相关的膜分类规则得出。在此背景下，将相关对偶框架类型分类为 74 类，确定哪些格点可能是相关 EFT 候选者，并对所有这些候选者进行积分缩放的详尽测试。发现对于所有主导系列以及低于物种尺度的次主导系列（直至在自上而下示例中也出现的半整数细微差别），$w\leq 3$ 时成立。还发现 EFT 弦候选者的振子模式生成粒子和弦的格点的证据。此外，$w = 1$ 意味着微扰弦极限，但反之不成立。并将分类与具体的 IIA 型、F 理论和 M 理论紧致化进行比较。
英文摘要：
Near the core of an EFT string in a 4d $\mathcal{N}=1$ theory, the scalars are dynamically driven to infinite field distance and a tower of states becomes light, with mass scaling with the string tension in Planck units as $m^2\sim \mathcal{T}^{\,w}$. According to the Integral Scaling Conjecture, $w$ takes only values 1, 2 and 3. In this paper, we examine how this conjecture can follow from the brane-taxonomy rules associated with the Emergent String Conjecture. In this context, we classify the relevant types of duality frames into 74 classes, identify which lattice sites can be relevant EFT candidates, and exhaustively test integral scaling for all of these candidates. We find that it holds with $w\leq 3$ for all the leading towers and also for the subleading towers below the species scale (up to half-integral subtleties that also appear in top-down examples). We further find evidence that the oscillator modes of EFT string candidates generate the lattices of particles and strings. Moreover, $w=1$ implies a perturbative string limit, but the converse is not true. We compare our classification with concrete type IIA, F-theory and M-theory compactifications.
