AI 中文总结
该讲义基于预弦理论2026年学校的五次讲座，介绍了用自举策略计算全息关联函数的方法，以4d $\boldsymbol{\textrm{N}=4}$超杨-米尔斯理论为例展开，还涉及相关扩展内容。
AI 中文摘要
在过去十年中，自举策略已改变了全息关联函数的计算，并揭示出AdS中出现散射振幅程序的相关结构。本讲义是2026年预弦理论学校所开设五次讲座的扩展版本，对这些进展提供了教学性的介绍与综合。我们首先简要回顾共形场论（CFT）的基础内容和AdS微扰理论。随后以4d $\boldsymbol{\textrm{N}=4}$超杨-米尔斯理论这一典型案例，详细展示用于计算全息关联函数的自举策略，涉及四点函数层面以及与经典IIB型超引力对偶的区域。还以不同详细程度讨论了若干扩展内容，包括更高点函数、量子修正和弦修正。此外，我们还解释了如何将自举策略扩展到带有共形缺陷的全息共形场论（CFT），涵盖多种不同的设置。
英文摘要
Over the past decade, the bootstrap strategy has transformed the computation of holographic correlators and revealed structures suggesting an emerging scattering amplitude program in AdS. These notes, which are an extended version of the five lectures delivered at the Pre-Strings 2026 School, give a pedagogical introduction and synthesis of these developments. We start with a quick reminder of the essentials of CFT and a brief review of AdS perturbation theory. We then demonstrate in detail the bootstrap strategy for computing holographic correlators in the canonical example 4d $\mathcal{N}=4$ super Yang-Mills theory, at the level of four-point functions and in the regime dual to classical Type IIB supergravity. Several extensions, including higher-point functions, quantum corrections and stringy corrections, are discussed at varying levels of detail. We also explain how the bootstrap strategy can be extended to holographic CFTs with conformal defects, covering a diverse array of different setups.
Comments81 pages, 18 pages, based on lectures delivered at the Pre-Strings 2026 School
