近日，美国斯坦福大学的Lance J.Dixon与Yu-Ting Liu合作并取得一项新进展。经过不懈努力，他们利用对跖对偶性计算得到八环振幅。相关研究成果已于2023年9月15日在国际知名学术期刊《高能物理杂志》上发表。

该研究团队在平面N = 4超杨-米尔斯理论中，利用对跖对偶性和最近计算的手性应力能量张量的八环三点形式因子，计算了八环下的六粒子最大违反螺旋（MHV）振幅。对跖对偶性将形状因子符号映射到三维振幅运动学中二维宇称保持表面上的幅度符号。从二维提升到三维，或者将符号提升到一个函数，都没有什么歧义。

该幅值通过了近共线、多雷格、因式分解、自交和原点极限等测试。这些检验也构成了对八环的对偶性的验证。

附：英文原文

Title: An eight loop amplitude via antipodal duality

Author: Dixon, Lance J., Liu, Yu-Ting

Issue&Volume: 2023-09-15

Abstract: We compute the six-particle maximally-helicity-violating (MHV) amplitude in planar N = 4 super-Yang-Mills theory at eight loops, using antipodal duality and the recently computed eight-loop three-point form factor for the chiral stress energy tensor multiplet. Antipodal duality maps the form factor symbol to the amplitude symbol on a two-dimensional parity-preserving surface in the three-dimensional amplitude kinematics. There are remarkably few ambiguities in lifting from two to three dimensions, nor in promoting the symbol to a function. The amplitude passes many tests, including near-collinear, multi-Regge, factorization, self-crossing and origin limits. These checks also constitute a validation of antipodal duality at eight loops.

DOI: 10.1007/JHEP09(2023)098

Source: https://link.springer.com/article/10.1007/JHEP09(2023)098