对巨引力子关联函数的量子引力修正
Quantum Gravity Corrections to Giant Graviton Correlators
中文总结 AI 辅助
研究\(\mathcal{N}=4\) SYM理论超引力极限下巨引力子与轻超引力子关联函数的量子引力修正，采用AdS幺正性方法的缺陷版本，得到梅林和位置空间的一圈封闭形式结果，并提取相关算符反常维度的量子修正。
中文摘要 AI 辅助
我们计算了在\(\mathcal{N}=4\) SYM理论的超引力极限下，应力张量多重态中两个最大巨引力子和两个轻超引力子的关联函数的主导量子引力修正。通过将巨引力子视为零维缺陷，我们采用AdS幺正性方法的缺陷版本，从已知的树级关联函数重建一圈修正。我们在梅林空间和位置空间中都以封闭形式得到了一圈结果。我们还提取了在缺陷通道算符乘积展开中，描述巨引力子和轻超引力子束缚态的算符在主导共形扭转下的反常维度的量子修正。
英文摘要
We compute the leading quantum gravity correction to the correlation function of two maximal giant gravitons and two light supergravitons in the stress tensor multiplet in the supergravity limit of $\mathcal{N}=4$ SYM theory. By viewing the giant gravitons as a zero-dimensional defect, we employ the defect version of the AdS unitarity method to reconstruct the one-loop correction from the known tree-level correlators. We obtain the one-loop result in closed form in both Mellin and position space. We also extract the quantum correction to the anomalous dimension of operators describing a bound state of a giant graviton and a light supergraviton at the leading conformal twist in the defect channel OPE.
