标题： 重新审视AdS/CFT中的极端耦合 显示英文标题

标题： Revisiting Extremal Couplings in AdS/CFT

摘要： 我们考虑在固定的AdS$_{d+1}$背景上具有它们之间的三次极端相互作用的大量标量场的有效理论。当任何对偶CFT$_d$算符的相应共形维度等于所有其他算符的和时，体耦合被称为极端的。对于三次体耦合，这是$\Delta_i+\Delta_j=\Delta_k$。这些体相互作用在文献中经常被忽略，因为它们不出现在传统的AdS/CFT模型中。开启它们会在对偶CFT中产生发散的顶点，而这里我们表明这些发散可以被调节。一旦重整化，我们证明这种耦合会在单迹和双迹算符之间引入非平凡的混合，并且我们在微扰理论中的一阶计算了修正算符的异常维度。 显示英文摘要

摘要： We consider an effective theory of massive scalar fields on a fixed AdS$_{d+1}$ background with a cubic extremal interaction among them. A bulk coupling is called extremal whenever the corresponding conformal dimension of any of the dual CFT$_d$ operators matches the sum of all the others. For cubic bulk couplings, this is $\Delta_i+\Delta_j=\Delta_k$. These bulk interactions are often disregarded in the literature since they do not appear in traditional models of AdS/CFT. Turning them on yields a divergent vertex in the dual CFT, and here we show that these divergences can be regulated. Once renormalized, we demonstrate that this coupling introduces non-trivial mixing between single- and double-trace operators, and we compute the anomalous dimensions of the corrected operators to leading order in perturbation theory.