论文标题
所有最大超对称CFT中的所有全息四点功能
All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs
论文作者
论文摘要
我们提出了所有最大超对称保形的$ d> 2 $的全息四点相关因子的全息四点相关器的建设性推导。 This includes holographic correlators in 3d ${\cal N}=8$ ABJM theories, 4d ${\cal N}=4$ SYM theory and the 6d ${\cal N}=(2,0)$ theory, dual to tree-level amplitudes in 11D supergravity on $AdS_4 \times S^7$, 10D supergravity on $AdS_5 \times $ ads_7 \ times s^4 $上的S^5 $和11D超级。我们介绍了违反最大R-对称性（MRV）幅度的概念，该幅度对应于R-对称空间中的特殊构型。在此限制中，幅度极大地简化了，但与此同时，整个振幅的整个极部分可以从此限制中恢复。此外，对于极地部分的特定选择，可以使用超符号病房身份和固定空间限制来证明接触项是不存在的。
We present a constructive derivation of holographic four-point correlators of arbitrary half-BPS operators for all maximally supersymmetric conformal field theories in $d>2$. This includes holographic correlators in 3d ${\cal N}=8$ ABJM theories, 4d ${\cal N}=4$ SYM theory and the 6d ${\cal N}=(2,0)$ theory, dual to tree-level amplitudes in 11D supergravity on $AdS_4 \times S^7$, 10D supergravity on $AdS_5 \times S^5$ and 11D supergravity on $AdS_7 \times S^4$, respectively. We introduce the concept of Maximally R-symmetry Violating (MRV) amplitude, which corresponds to a special configuration in the R-symmetry space. In this limit the amplitude drastically simplifies, but at the same time the entire polar part of the full amplitude can be recovered from this limit. Furthermore, for a specific choice of the polar part, contact terms can be shown to be absent, by using the superconformal Ward identities and the flat space limit.
