多粒子因子化与弦理论的刚性
Multiparticle Factorization and the Rigidity of String Theory
AI总结：
本研究探讨弦理论是否由自洽性唯一确定，通过更高点因子化约束散射，排除了若干弦形变，并直接提取低能弦模式的三点振幅。
摘要：
弦理论是否由自洽性唯一确定？因果性和幺正性似乎在至少二到二散射层面上允许大量假定的形变。受此问题启发，我们启动了对来自更高点因子化的散射约束的系统性探索，该因子化对给定振幅所定义的留数和谱施加了极其严格的求和规则。这些界限轻松排除了几个提出的弦形变：最简单的具有可调质量的“定制”振幅以及来自“二元几何”的修正弦积分族。虽然弦本身通过了所有测试，但我们的形式体系无需借助世界sheet顶点算子即可直接提取低能弦模式的三点振幅。
英文摘要：
Is string theory uniquely determined by self-consistency? Causality and unitarity seemingly permit a multitude of putative deformations, at least at the level of two-to-two scattering. Motivated by this question, we initiate a systematic exploration of the constraints on scattering from higher-point factorization, which imposes extraordinarily restrictive sum rules on the residues and spectra defined by a given amplitude. These bounds handily exclude several proposed deformations of the string: the simplest "bespoke" amplitudes with tunable masses and a family of modified string integrands from "binary geometry." While the string itself passes all tests, our formalism directly extracts the three-point amplitudes for the low-lying string modes without the aid of worldsheet vertex operators.
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