论文标题

超符号箭中的相关器很快

Correlators in superconformal quivers made QUICK

论文作者

Preti, Michelangelo

论文摘要

在本文中,我们综述了2012.15792和2105.00257关于$ \ MATHCAL {n} = 2 $超符合Quiver Theories的扰动方法。我们考虑了几类可观察到的可观察物,这些可观察到涉及多列拉斯本地运营商和威尔逊循环,这些循环以震颤中的所有可能方式分散。我们评估他们利用超对​​称性定位引起的多矩阵模型,并将解决方案推广到$ su(n)$和$ u(n)$案例。此外,我们提供了快速(Quiver相关套件)Wolfram Mathematica软件包,旨在自动化上述所有观察处的$ a_ {q-1} $ Multi-Matrix模型的扰动解决方案。鉴于超符号Quiver理论的插值性质$ a_ {q-1} $,该软件包是在SCQCD中计算相关器的有效工具,$ \ Mathcal {n} = 4 $ sym及其$ \ Mathbb {z} _q $ orbifolds。该手稿包括用户指南和一些教学示例。

In this paper we conclude the program of 2012.15792 and 2105.00257 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in 4D. We consider several classes of observables that involve multitrace local operators and Wilson loops scattered in all the possible ways among the quiver. We evaluate them exploiting the multi-matrix model arising from supersymmetric localisation and we generalise the solution to both $SU(N)$ and $U(N)$ cases. Moreover, we provide QUICK (QUIver Correlator Kit) a Wolfram Mathematica package designed to automatise the perturbative solution of the $A_{q-1}$ multi-matrix model for all the observables mentioned above. Given the interpolating nature of the superconformal quiver theories $A_{q-1}$, the package is an efficient tool to compute correlators also in SCQCD, $\mathcal{N}=4$ SYM and its $\mathbb{Z}_q$ orbifolds. This manuscript includes a user guide and some pedagogical examples.

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