标题： 利用可积性和局域化-bootstrap方法计算$\mathcal{N} = 4$对称关联函数 显示英文标题

标题： Bootstrapping $\mathcal{N} = 4$ sYM correlators using Integrability and Localization

摘要： 我们利用可积性和局域化技术研究了$\mathcal{N} = 4$超对称杨-米尔斯（sYM）理论中应力张量多重态的四点相关函数。我们将先前使用的可积性方法中的色散和光谱信息与超对称局域化的积分约束相结合。我们在任意从弱耦合到强耦合的't Hooft耦合值下，在平面极限中得到了所谓的 Konishi 算符的 OPE 系数的双边界限。除了单个 OPE 系数外，我们还讨论了如何对相关函数本身进行限制，并在不同交叉比和耦合值下得到双边界限。最后，考虑大't Hooft耦合的极限，我们将分析与涉及 Virasoro-Shapiro 振幅的类似平直空间问题联系起来。 显示英文摘要

摘要： We study four-point correlation functions of the stress-tensor multiplet in $\mathcal{N} = 4$ super Yang-Mills (sYM) theory by leveraging integrability and localization techniques. We combine dispersive sum rules and spectral information from integrability, used previously, with integrated constraints from supersymmetric localization. We obtain two-sided bounds on the OPE coefficient of the so-called Konishi operator in the planar limit at any value of the 't Hooft coupling ranging from weak to strong coupling. In addition to individual OPE coefficients, we discuss how to bound the correlation function itself and obtain two-sided bounds at various values of the cross-ratios and coupling. Lastly, considering the limit of large 't Hooft coupling, we connect the analysis with that of an analogous flat space problem involving the Virasoro-Shapiro amplitude.