论文标题
缺陷CFT中的引导性：集成的相关器和更清晰的界限
Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
论文作者
论文摘要
我们将继续开发自动化性 - 一种合并集成性和保形性引导程序，以在$ \ MATHCAL {N} $ = 4 SYMS中提取CFT数据来提取CFT数据。在本文中，我们考虑了该理论中的$ \ frac {1} {1} {2} $ -BPS Wilson线的1D缺陷CFT，其非扰动光谱由量子光谱曲线（QSC）控制。此外，我们使用QSC控制了Wilson线的变形设置。在缺陷CFT方面，这转化为两个非平凡关系，将集成的4点相关因子与尖源光谱数据（例如BREMSSTRAHLUNG和曲率函数）结合在一起，这是从QSC分析的。将这些新的约束和10美元的最低状态的频谱与数值结合式引导程序结合在一起，我们获得了第一个非保护状态的结构常数非常严格的数值界限，可以在中间耦合区域中使用七位数的精度可观察到七位数的精度， 1 $，在很大的't Hooft耦合下，错误迅速减少。此外，对于相同的结构常数，我们在弱耦合时获得了$ 4 $ - 环的分析结果。我们还提出了激发态的结果。
We continue to develop Bootstrability -- a method merging Integrability and Conformal Bootstrap to extract CFT data in integrable conformal gauge theories such as $\mathcal{N}$=4 SYM. In this paper, we consider the 1D defect CFT defined on a $\frac{1}{2}$-BPS Wilson line in the theory, whose non-perturbative spectrum is governed by the Quantum Spectral Curve (QSC). In addition, we use that the deformed setup of a cusped Wilson line is also controlled by the QSC. In terms of the defect CFT, this translates into two nontrivial relations connecting integrated 4-point correlators to cusp spectral data, such as the Bremsstrahlung and Curvature functions -- known analytically from the QSC. Combining these new constraints and the spectrum of the $10$ lowest-lying states with the Numerical Conformal Bootstrap, we obtain very sharp rigorous numerical bounds for the structure constant of the first non-protected state, giving this observable with seven digits precision for the 't Hooft coupling in the intermediate coupling region $\frac{\sqrtλ}{4π}\sim 1$, with the error decreasing quickly at large 't Hooft coupling. Furthermore, for the same structure constant we obtain a $4$-loop analytic result at weak coupling. We also present results for excited states.
