论文标题

$ \ Mathcal {n} = 4 $ sym的集成性集成相关器:Maldacena-Wilson Line

Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM

论文作者

Cavaglià, Andrea, Gromov, Nikolay, Julius, Julius, Preti, Michelangelo

论文摘要

我们提出了一种系统的方法,用于推导关系,该关系将操作员在直线Maldacena-Wilson线上的相关函数与CUSP异常维度的集成性数据连接起来。如我们所示,该推导需要非常仔细的紫外线分歧处理。我们的方法打开了一种对多点相关函数积分的无限限制的方法,将它们与由量子频谱曲线控制的广义尖缘异常尺寸的集成性数据相关联。最近已证明这种限制与数值共形性引导程序相结合非常强大,从而在频谱以外的保形数据上导致非常狭窄的非扰动界限。

We present a systematic method for the derivation of a relation which connects the correlation function of operators on the straight Maldacena-Wilson line with the integrability data for the cusp anomalous dimension. As we show, the derivation requires very careful treatment of the UV divergences. Our method opens a way to derive infinitely many constraints on integrals of multi-point correlation functions, relating them with the integrability data for the generalised cusp anomalous dimension governed by the Quantum Spectral Curve. Such constraints have been shown recently to be very powerful in combination with the numerical conformal bootstrap, leading to very narrow non-perturbative bounds on conformal data beyond the spectrum.

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