SAGEX关于散射振幅的评论，第8章：半BPS关联函数
The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
摘要：
N=4超杨-米尔斯理论中的半BPS关联函数是AdS/CFT对应以及散射振幅研究中的关键量。它们在与量子引力振幅强耦合时是对偶的。另一方面，在弱耦合时，它们包含所有N=4个SYM振幅。它们被发现具有许多隐藏的对称性，例如微扰四点被积函数的非平凡置换对称性和高维共形对称性。自从发现AdS/CFT以来，他们的研究一直在不断取得进展，现在他们是任何四维量子场论中最好理解的量。在这篇评论中，我们概述了目前的知识的半BPS关联函数，强调这两个共存的关系，散射振幅在强耦合和弱耦合。
英文摘要：
Half BPS correlators in N=4 super Yang-Mills theory are key quantities both in the AdS/CFT correspondence as well as in scattering amplitudes research. They are dual at strong coupling to quantum gravity amplitudes. At weak coupling on the other hand they contain all N=4 SYM amplitudes. They have been found to possess a number of hidden symmetries, for example non-trivial permutation symmetry of perturbative four-point integrands and a higher dimensional conformal symmetry. Their study has enjoyed continuous progress since the discovery of AdS/CFT and they are now some of the best understood quantities of any four-dimensional quantum field theory. In this review we outline the current knowledge of half BPS correlators, emphasising these two co-existing relations to scattering amplitudes at strong and weak coupling.
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