论文标题
$ \ MATHCAL {N} = 2 $ SUPERCONGORAL字段理论的平面限制
The planar limit of $\mathcal{N}=2$ superconformal field theories
论文作者
论文摘要
对于四维Lagrangian $ {\ cal n} = 2 $ SuperCongrongoral Field Theories，我们在$ s^4 $上获得了自由能的扰动扩展，以在平面限制下'T Hooft耦合中的所有订单。在将1循环因子重写为无限数量的单个和双重跟踪项之后，我们通过使用超对称定位来做到这一点。我们获得的答案纯粹是组合的，并且涉及到树图上的总和。我们还将这些方法应用于有限$ n $的自由能的扰动扩展，并将这些方法应用于1/2 bps圆形的Wilson Loop的真空期望值的计算，在平面限制中，该循环涉及在生根树图上的总和。
We obtain the perturbative expansion of the free energy on $S^4$ for four dimensional Lagrangian ${\cal N}=2$ superconformal field theories, to all orders in the 't Hooft coupling, in the planar limit. We do so by using supersymmetric localization, after rewriting the 1-loop factor as an effective action involving an infinite number of single and double trace terms. The answer we obtain is purely combinatorial, and involves a sum over tree graphs. We also apply these methods to the perturbative expansion of the free energy at finite $N$, and to the computation of the vacuum expectation value of the 1/2 BPS circular Wilson loop, which in the planar limit involves a sum over rooted tree graphs.
