AI 中文总结
该研究针对六维$\boldsymbol{\textit{N}=(1,0)}$超引力中E-弦相交边界的缺失问题，结合扎里斯基分解与流代数嵌入，通过AI辅助识别并解析证明了张量荷相交数在对偶性下的有限性。
AI 中文摘要
在六维$\boldsymbol{\textit{N}=(1,0)}$超引力中，张量模空间的结构由原始BPS弦荷（称为BPS生成元）及其相交配对决定。我们从纯有效场论（EFT）视角推导这些生成元的相交数边界。尽管规范反常抵消约束了支撑规范代数的生成元之间的相交，但E-弦与自相交数为-2和-3的生成元相交的边界此前仍不完整。我们证明，被解释为吸引子机制荷格对应物的扎里斯基分解，结合E-弦世界面理论上的流代数嵌入，可得到这些相交数的强普适边界。这些结果确立了张量荷相交数在对偶性下的有限性。该底层结构通过AI指导的研究被识别，并在此处利用EFT论据解析证明。
英文摘要
In six-dimensional $\mathcal{N}=(1,0)$ supergravity, the structure of tensor moduli space is governed by primitive BPS string charges known as BPS generators and their intersection pairing. We derive bounds on the intersection numbers of these generators from a purely effective field theory (EFT) perspective. Although gauge anomaly cancellation constrains intersections between generators supporting gauge algebras, bounds for E-strings intersecting generators with self-intersection numbers $-2$ and $-3$ have previously remained incomplete. We show that the Zariski decomposition, interpreted as the charge lattice counterpart of the attractor mechanism, together with current algebra embeddings on the E-string worldsheet theory, yields strong universal bounds on these intersection numbers. These results establish the finiteness of tensor charge intersection numbers up to duality. The underlying structure was identified through AI-guided investigation and is proven here analytically using EFT arguments.
Comments21 pages
