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arXiv 2106.04553hep-th
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${\cal N}=2$手征关联函数的平面极限

The planar limit of ${\cal N}=2$ chiral correlators

Bartomeu Fiol, Alan Rios Fukelman

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25 pages. v2 : added reference
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摘要：

在t Hooft耦合下，我们得到了$S^4$上的${\cal N}=2$ SQCD的单迹手征准素算子的2点和3点函数的平面极限.为了做到这一点，我们首先得到一个组合表达式的平面自由能的厄米矩阵模型与无限数量的任意单，双迹项的潜力，这种解决方案可能有应用在许多其他情况下。然后，我们使用这些结果来评估类似的平面关联函数的${\mathbb R}^4$。具体地说，我们计算的$ζ$函数的几个平面2-和3-点函数的所有条款与一个单一的值，并推测这些条款的一般公式为所有的2-和3-点函数${\mathbb R}^4$。

英文摘要：

We derive the planar limit of 2- and 3-point functions of single-trace chiral primary operators of ${\cal N}=2$ SQCD on $S^4$, to all orders in the 't Hooft coupling. In order to do so, we first obtain a combinatorial expression for the planar free energy of a hermitian matrix model with an infinite number of arbitrary single and double trace terms in the potential; this solution might have applications in many other contexts. We then use these results to evaluate the analogous planar correlation functions on ${\mathbb R}^4$. Specifically, we compute all the terms with a single value of the $ζ$ function for a few planar 2- and 3-point functions, and conjecture general formulas for these terms for all 2- and 3-point functions on ${\mathbb R}^4$.

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