论文标题
$ \ MATHCAL {n} = 2 $超符号仪表理论及其强耦合极限的三点功能
Three-point functions in a $\mathcal{N}=2$ superconformal gauge theory and their strong-coupling limit
论文作者
论文摘要
我们在四维$ \ mathcal {n} = 2 $ sym理论中研究单个跟踪标量运算符的三点函数，具有量规组$ \ mathrm {surm {surm {su}（n）$和对称性加上反对称表示的物质，它具有消失的$β$ functlation。通过将此计算映射到由4个球体上定位引起的矩阵模型，我们能够重新恢复大$ n $ n $'t HOHOFT限制中的扰动扩展，并在强耦合下得出相关器的行为。最后，通过将我们在3点函数上的结果与最近发现的2分函数上的结果相结合，我们在强耦合处获得了该保形场理论的归一化3点系数，并发现它们以一种简单的方式依赖于单个轨道算子的整形尺寸。
We study the 3-point functions of single-trace scalar operators in a four-dimensional $\mathcal{N}=2$ SYM theory with gauge group $\mathrm{SU}(N)$ and matter in the symmetric plus anti-symmetric representation, which has a vanishing $β$-function. By mapping this computation to the matrix model arising from localization on a 4-sphere we are able to resum the perturbative expansion in the large-$N$ 't Hooft limit and derive the behavior of the correlators at strong coupling. Finally, by combining our results on the 3-point functions with those on the 2-point functions that have been recently found, we obtain the normalized 3-point coefficients of this conformal field theory at strong coupling and find that they depend in a simple way on the conformal dimensions of the single-trace operators.
