论文标题
两环MHV振幅的对称对称性
Antipodal Symmetry of Two-Loop MHV Amplitudes
论文作者
论文摘要
我提出了一个猜想，即在平面$ \ mathcal {n} = 4 $ super-yang-mills理论中的所有双环MHV振幅都具有对偶尔 - 偶然化学的评估时具有抗磷灰石对称性。对称性是对符号字母的基础的变化，其次是与多个聚集载体的Hopf代数结构相关的反模式操作。在符号级别上，我明确地提供了最多八个外部粒子的振幅的对称图，还提供了各种多重性的证据。有趣的是，该地图充当了符号字母牛顿多型的正常粉丝的同构。猜想对称性是罕见的已知情况之一，其中反式图在物理上重要的例子中显示出来。
I present a conjecture that all two-loop MHV amplitudes in planar $\mathcal{N} = 4$ super-Yang-Mills theory possess an antipodal symmetry when evaluated on parity-even kinematics. The symmetry acts as a change of basis on the symbol letters, followed by the antipode operation associated with the Hopf algebra structure of multiple polylogarithms. At the symbol level, I provide the symmetry map explicitly for amplitudes with up to eight external particles, and also provide evidence at all multiplicities. Intriguingly, the map acts as an isomorphism on the normal fans of the Newton polytopes of the symbol letters. The conjectured symmetry is one of the rare known cases where the antipode map shows up in physically important examples.
