AI 中文总结
研究强耦合下平面\(\mathcal{N}=4\)超杨-米尔斯理论中能量-能量关联函数，通过世界面表示确定事件形状函数至\(\lambda^{-3/2}\)阶，计算\(p = 2\)时二阶曲率修正，还开发互补方法，两种方法结果一致。
AI 中文摘要
我们研究了在强 't Hooft 耦合λ下平面\(\mathcal{N}=4\)超杨-米尔斯理论中的能量-能量关联函数（EEC）。我们考虑由任意维度\(p\)的半 BPS 算符所创建态中的 EEC，并从具有卡鲁扎-克莱因外部态的 AdS 维拉萨罗-夏皮罗振幅的世界面表示中确定相应的事件形状函数，直至\(\lambda^{-3/2}\)阶。对于\(p = 2\)，我们计算了二阶曲率修正，这完成了直至\(\lambda^{-2}\)阶的 EEC；新贡献改善了与最近在中间耦合下导出的非微扰界的一致性。我们还进一步开发了一种互补方法，其中 EEC 的强耦合展开系数直接从 AdS 维拉萨罗-夏皮罗振幅的低能展开的威尔逊系数中提取，并发现这两种方法完全一致。
英文摘要
We study energy-energy correlators (EEC) in planar $\mathcal{N}=4$ super Yang-Mills theory at strong 't Hooft coupling $λ$. We consider the EEC in states created by half-BPS operators of arbitrary dimension $p$, and determine the corresponding event-shape function up to order $λ^{-3/2}$ from the worldsheet representation of the AdS Virasoro-Shapiro amplitude with Kaluza-Klein external states. For $p=2$ we compute the second curvature correction, which completes the EEC through order $λ^{-2}$; the new contribution improves the agreement with recently derived non-perturbative bounds at intermediate coupling. We further develop a complementary method in which the strong-coupling expansion coefficients of the EEC are extracted directly from the Wilson coefficients of low-energy expansion of the AdS Virasoro-Shapiro amplitude, and find the two approaches in perfect agreement.
Comments28 pages + 4 appendices, 3 figures
