标题： 平面$\mathcal{N}=4$SYM 理论中短算子的结构常数 显示英文标题

标题： Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory

摘要： 我们提出了一种基于可积性的猜想，用于平面$\mathcal{N}=4$超杨-米尔斯理论在有限耦合下单迹算符的三-point 函数，前提是其中两个算符是受保护的。 我们的提议基于长算符结构常数的六边形表示，我们利用 TBA/QSC 形式主义的数据将其扩展以包含任意长度的算符。 我们对该猜想进行了各种检验，在弱耦合和强耦合情况下均与规范场论相一致，对于最短的三-point 函数通过了五圈检验，并且与弦理论的经典极限一致。 显示英文摘要

摘要： We present an integrability-based conjecture for the three-point functions of single-trace operators in planar $\mathcal{N}=4$ super-Yang-Mills theory at finite coupling, in the case where two operators are protected. Our proposal is based on the hexagon representation for structure constants of long operators, which we complete to incorporate operators of any length using data from the TBA/QSC formalism. We perform various tests of our conjecture, at weak and strong coupling, finding agreement with the gauge theory through 5 loops for the shortest three-point function and with string theory in the classical limit.