近日，中国科学技术大学的张扬及其研究团队取得一项新进展。经过不懈努力，他们实现量子级的巨型相关器。相关研究成果已于2024年5月31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N = 4的超对称杨-米尔斯理论框架下，成功计算了包含两个极大巨型引力子和两个手性初级算子的三回路阶四点函数。他们运用了拉格朗日插入法并结合理论的对称性，将被积函数限定在少数几个常数之中。在额外的平面性假设下，这些常数均可通过较低阶的回路数据来确定。所获得的结果可以视为平面图对整体四点函数的贡献，并可以用已知的三回路保形积分来表示。

基于这一四点函数，研究人员进一步提取了在三回路上，任意自旋的两个巨型引力子与一个非BPS扭曲2算子之间的OPE系数，这些系数被表达为调和和的形式。研究人员观察到巨型引力子的OPE系数与三个单迹算子的OPE系数之间，存在一个有趣的简单关系。

附：英文原文

Title: Giant correlators at quantum level

Author: Jiang, Yunfeng, Wu, Yu, Zhang, Yang

Issue&Volume: 2024-05-31

Abstract: We compute four-point functions with two maximal giant gravitons and two chiral primary operators at three-loop order in planar N = 4 Super-Yang-Mills theory. The Lagrangian insertion method, together with symmetries of the theory fix the integrand up to a few constants. Under the additional assumption of planarity, all these constants can be determined by lower loop data. The obtained result can be regarded as the planar diagram contribution to the full four-point function and is written in terms of the known three-loop conformal integrals. From the four-point function, we extract the OPE coefficients of two giant gravitons and one non-BPS twist-2 operator with arbitrary spin at three-loops, given in terms of harmonic sums. We observe an intriguingly simple relation between the giant graviton OPE coefficients and the OPE coefficients of three single-trace operators.

DOI: 10.1007/JHEP05(2024)345

Source: https://link.springer.com/article/10.1007/JHEP05(2024)345