arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2301.07035hep-th
收藏

三维 $\mathcal{N}\ge4$ 理论中受保护的缺陷关联函数

On protected defect correlators in 3d $\mathcal{N}\ge4$ theories

Luigi Guerrini

AI总结:

本文提出一种新超对称构型,基于Ward恒等式导出三维N≥4理论中线缺陷关联函数的精确公式,用于计算轫致辐射函数,并在ABJM模型中验证及计算更高点关联函数。

摘要:

我们研究并计算三维 $\mathcal{N}\ge4$ 理论中线缺陷的超对称可观测量。我们的设置是一种新颖的超对称构型,涉及线算符和位于相连圆上的局域算符。局域算符的代数由拓扑量子力学描述。对于属于守恒流多重态的算符,我们基于积分关联函数的Ward恒等式,提出了其关联函数的精确公式。我们的公式给出了计算 $\mathcal{N}=6$ SCFT 中任意 $\frac{1}{3}$-BPS 线的轫致辐射函数的通用方法。我们将此关系应用于 ABJM 模型中的 $\frac{1}{2}$-BPS 威尔逊环,验证了先前计算的有效性。此外,我们的构造使我们能够探索更高点关联函数。作为示例,我们计算了 ABJM 理论中在威尔逊线存在下应力张量多重态关联函数的两点函数。我们还对我们的公式进行了一些微扰检验。

英文摘要:

We study and compute supersymmetric observables for line defects in 3d $\mathcal{N}\ge4$ theories. Our setup is a novel supersymmetric configuration involving line operators and local operators living on a linked circle. The algebra of the local operators is described by a topological quantum mechanics. For operators belonging to conserved current multiplets, we propose an exact formula for their correlation functions based on a Ward identity for integrated correlators. Our formula gives a general recipe to compute the bremsstrahlung function for any $\frac{1}{3}$-BPS lines in $\mathcal{N}=6$ SCFTs. We apply our relation to the $\frac{1}{2}$-BPS Wilson loop in the ABJM model, showing the validity of previous computations. Furthermore, our construction allows us to explore higher points correlators. As an example, we compute the two-point function of the stress tensor multiplet correlators in ABJM theory in the presence of the Wilson line. We also present some perturbative checks of our formulae.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑