论文标题
本地化与全息图$ 4D $ $ \ MATHCAL {N} = 2 $ QUIVER THEEORY
Localization vs holography in $4d$ $\mathcal{N}=2$ quiver theories
论文作者
论文摘要
我们研究了4维$ \ Mathcal {n} = 2 $超宪法Quiver量规理论，该理论是通过$ \ Mathcal {n} = 4 $ sym获得的Orbifold投影获得的，并计算手性/抗Chiral/Anti-Chiral/Ant-Chiral/Ant-Chiral/Anti-Chiral Srace Scalar scalar scalar运算符和相应的结构量表的2-和3点相关函数。利用本地化，我们将计算映射到相互作用的矩阵模型，并获得相关器的表达式以及对理论平面限制的't Hooft耦合值有效的结构常数。在强耦合时，这些表达式简化了，使我们能够以分析方式提取领先行为。最后，使用AD/CFT对应关系，我们从双重超级实力理论中计算结构常数，并获得完美匹配本地化强耦合预测的结果。
We study 4-dimensional $\mathcal{N}=2$ superconformal quiver gauge theories obtained with an orbifold projection from $\mathcal{N}=4$ SYM, and compute the 2- and 3-point correlation functions among chiral/anti-chiral single-trace scalar operators and the corresponding structure constants. Exploiting localization, we map the computation to an interacting matrix model and obtain expressions for the correlators and the structure constants that are valid for any value of the 't Hooft coupling in the planar limit of the theory. At strong coupling, these expressions simplify and allow us to extract the leading behavior in an analytic way. Finally, using the AdS/CFT correspondence, we compute the structure constants from the dual supergravity theory and obtain results that perfectly match the strong-coupling predictions from localization.
