论文标题
四粒子形状的抗双歧性自以为是
Antipodal Self-Duality for a Four-Particle Form Factor
论文作者
论文摘要
我们在平面$ \ Mathcal {n} = 4 $ super-yang-mills理论中的压力调整超级摩尔群的手性部分的最大抗抗性四粒子形式的符号。当最小化归一化时，此符号仅涉及34个字母，并在所有部分重叠的三粒子动量通道中遵守扩展的Steinmann关系。此外，此形式的剩余函数表现出反倍形自偶性：在多个多聚群上定义的抗虫图的合并操作下，它是不变的，这逆转了符号字母的顺序 - 简单的运动图。这种自以为是的，具有四维平等的运动运动性超浮脸。这意味着在该理论中，三粒子形状因子和六粒子振幅之间发现的抗二元双重性。
We bootstrap the symbol of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar $\mathcal{N}=4$ super-Yang-Mills theory at two loops. When minimally normalized, this symbol involves only 34 letters and obeys the extended Steinmann relations in all partially-overlapping three-particle momentum channels. In addition, the remainder function for this form factor exhibits an antipodal self-duality: it is invariant under the combined operation of the antipodal map defined on multiple polylogarithms -- which reverses the order of the symbol letters -- and a simple kinematic map. This self-duality holds on a four-dimensional parity-preserving kinematic hypersurface. It implies the antipodal duality recently noticed between the three-particle form factor and the six-particle amplitude in this theory.
