将振幅折叠成形状因子：一种对跖对偶
Folding Amplitudes into Form Factors: An Antipodal Duality
摘要：
我们观察到平面$\mathcal{N}=4$ super-Yang-Mills理论中应力张量多重态手征部分的三胶子形状因子与其宇称保持面上的六胶子MHV振幅是对偶的。直到一个简单的变量替换，这两个量之间的映射是由定义在多面体上的对极运算（作为其Hopf代数结构的一部分）给出的，它通过颠倒每个项中字母的顺序在符号级别上起作用。我们通过七个循环为这种二元性提供证据。
英文摘要：
We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar $\mathcal{N}=4$ super-Yang-Mills theory is dual to the six-gluon MHV amplitude on its parity-preserving surface. Up to a simple variable substitution, the map between these two quantities is given by the antipode operation defined on polylogarithms (as part of their Hopf algebra structure), which acts at symbol level by reversing the order of letters in each term. We provide evidence for this duality through seven loops.
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