发表机构
High Energy Accelerator Research Organization (KEK); SOKENDAI; RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS), RIKEN; POSTECH; Asia Pacific Center for Theoretical Physics, Postech; Tsinghua University（高能加速器研究机构; 综合研究大学院大学; 理化学研究所交叉理论数学科学中心; 浦项科技大学; 亚太理论物理中心; 清华大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文开发了基于有效场论数据的系统方法，重构六维N=(1,0)超引力的原始BPS弦生成元以确定BPS弦电荷锥，还为低能理论提供新约束并可确定对应凯勒曲面的森锥。
AI 中文摘要
六维$\boldsymbol{\textit{N}=(1,0)}$超引力的张量分支具有由两形式规范场荷电的BPS弦谱，其电荷张成张量电荷格中的一个锥，该锥的极值射线由原始BPS弦电荷生成，这些电荷在张量模空间边界处变为无张力。我们开发了一种完全基于有效场论数据的系统方法，用于重构原始BPS弦生成元，进而确定任意六维(1,0)超引力理论的完整闭合BPS弦锥。关键要素包括通用$\boldsymbol{\textit{H}}$-弦，它使我们能从其余规范中性E-弦扇区中分离出由分类LST块和规范反常数据确定的固定扇区，以及完备性猜想的BPS精细化版本，该版本确保相关电荷射线的存在。我们进一步表明，这种重构为低能理论提供了新的约束，可排除那些通过了所有已知局部格和反常一致性条件的候选有效场论。此外，对于具有几何张量基的理论，我们解释了相同的重构如何确定对应凯勒曲面的完整森锥。
英文摘要
The tensor branch of six-dimensional $\mathcal N=(1,0)$ supergravity is characterized by a spectrum of BPS strings charged under the two-form gauge fields. Their charges span a cone in the tensor charge lattice, whose extremal rays are generated by primitive BPS string charges that become tensionless at the boundaries of the tensor moduli space. We develop a systematic procedure, based entirely on effective field theory data, to reconstruct the primitive BPS string generators and thereby determine the complete closed BPS string cone of any 6d $(1,0)$ supergravity theory. The key ingredients are the universal {\it H}-string, which allows us to isolate a fixed sector determined by classified LST blocks and gauge anomaly data from the remaining gauge-neutral E-string sector, and a BPS refinement of the Completeness Conjecture that ensures population of the relevant charge rays. We further show that this reconstruction provides new constraints on the low-energy theory and can rule out candidate EFTs that pass all previously known local lattice and anomaly consistency conditions. Separately, for theories admitting geometric tensor bases, we explain how the same reconstruction determines the complete Mori cone of the corresponding Kähler surface.
Comments48 pages
