AI 中文总结
该研究构造了满足色-运动学对偶的N=4超杨-米尔斯理论三圈五点积分子，通过双拷贝得到N=8超引力积分子，计算了临界维Dc=6下的紫外极点，提出的D维预因子替换方案验证了超杨-米尔斯理论极点的开弦预言，发现引力表达式与弦启发式结果存在瞬逝项差异。
AI 中文摘要
我们构造了N=4超杨-米尔斯理论的完整全色三圈五点积分子，其表示明显满足色-运动学对偶性。其双拷贝给出对应的N=8超引力积分子。针对四维外态，我们在临界维数Dc=6中计算了两种振幅的紫外极点。将外态依赖扩展到D维是微妙的，我们考虑用D维树振幅构造的表达式替代四维预因子，该替换对一般D维外态重现了超杨-米尔斯理论极点的开弦预言，而对应的引力表达式与弦启发式结果存在一个瞬逝项的差异。
英文摘要
We construct the complete full-color three-loop five-point integrand of N=4 super-Yang--Mills theory in a representation that manifestly satisfies color--kinematics duality. Its double copy gives the corresponding N=8 supergravity integrand. For four-dimensional external states, we evaluate the ultraviolet poles of both amplitudes in the critical dimension, Dc=6. Extending the external-state dependence to D dimensions is subtle. We consider a candidate replacement of the four-dimensional prefactors by expressions built from D-dimensional tree amplitudes. It reproduces the open-string prediction for the SYM pole with generic D-dimensional external states, whereas the corresponding gravity expression differs from the string-inspired one by an evanescent term.
Comments5 pages, 5 figures
