Segre行列式与MHV引力振幅
Segre determinants and MHV gravity amplitudes
- School of Natural Sciences, Institute for Advanced Study（普林斯顿高等研究院）
- Politecnico di Torino（都灵理工大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文通过Segre-Veronese构造生成Hodges公式中MHV引力振幅分子的多项式解，证明五点与六点源于Segre行列式，且对$n\geq7$存在线性无关解。
AI中文摘要：
我们描述了Segre-Veronese构造，用于生成Hodges公式给出的树级MHV引力振幅分子插值条件的多项式解。五点与六点Hodges分子来源于Segre行列式，而对于每个$n\geq7$，合适的Segre行列式可导出与Hodges分子线性无关的解。对于$n=7,8$，此类独立元素的存在性最近由Mai和Zhang确立。
英文摘要：
We describe a Segre-Veronese construction of polynomial solutions to the interpolation conditions of the numerators of tree-level MHV gravity amplitudes given by Hodges' formula. The five- and six-point Hodges numerators arise from Segre determinants, while for every $n\geq7$ suitable Segre determinants lead to solutions linearly independent of the Hodges numerator. The existence of such independent elements for $n=7,8$ was recently established by Mai and Zhang.
