Dixon Lance J, Gürdoğan Ömer, McLeod Andrew J, Wilhelm Matthias
SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94309, USA.
School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom.
Phys Rev Lett. 2022 Mar 18;128(11):111602. doi: 10.1103/PhysRevLett.128.111602.
We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar 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.
我们观察到，在平面(N = 4)超杨-米尔斯理论中，应力张量多重态的手征部分的三胶子形状因子在其宇称守恒表面上与六胶子MHV振幅对偶。 经过一个简单的变量代换，这两个量之间的映射由在多重对数上定义的对映运算给出（作为其霍普夫代数结构的一部分），该运算在符号层面通过反转每个项中字母的顺序来起作用。 我们通过七圈为这种对偶性提供了证据。
