发表机构
City University of Hong Kong（香港城市大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明有限粒子一致性可固定弦散射的特征单值性，通过六点留数生成Fay恒等式，确定核满足二阶方程，并识别出第一性原理推导所需的缺失原则。
AI 中文摘要
弦散射的特征单值性能否仅从S矩阵一致性推导出来，而无需假设世界面？我们证明，有限粒子一致性将其固定到一个明确的程度。在一个无质量的双有序恒等模型中，两个精确的六点留数生成一个标量五边形和奇数Fay恒等式，迫使每个解析的四点零核满足$q''=\kappa q$，仅留下线性、三角和双曲分支。这将有限重数因子化转化为通常与世界面几何相关的全阶约束。对于相反的KLT模块中的交叉对称目标，具有非零重谱权重的正无减色散选择三角分支，而矩决定性将Veneziano胚固定到尺度。一个双尺度反例证明模块进入是一个独立输入。因此，我们的结果既识别了弦散射的有限到无限刚性机制，也识别了第一性原理推导所需的确切缺失原则。
英文摘要
Can the characteristic monodromy of string scattering be derived from S-matrix consistency alone, without assuming a worldsheet? We show that finite-particle consistency fixes it to a sharply defined extent. In a massless doubly ordered identity model, two exact six-point residues generate a scalar pentagon and the odd Fay identity, forcing every analytic four-point null kernel to satisfy $q''=κq$ and leaving only the linear, trigonometric, and hyperbolic branches. This converts finite-multiplicity factorization into an all-orders constraint normally associated with worldsheet geometry. For a crossing-symmetric target in the opposite KLT module, positive unsubtracted dispersion with nonzero heavy spectral weight selects the trigonometric branch, and moment determinacy fixes the Veneziano germ up to scale. A two-scale counterexample proves that module entrance is an independent input. Our result therefore identifies both a finite-to-infinite rigidity mechanism for string scattering and the precise missing principle needed for a first-principles derivation.
