One-loop amplitudes in AdS5×S5 supergravity from $$ \mathcal{N} $$ = 4 SYM at strong coupling

One-loop amplitudes in AdS5×S5 supergravity from $$ \mathcal{N} $$ = 4 SYM at strong coupling
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AdS5×S5 超重力中的单环振幅 $$ mathcal{N} $$ = 4 SYM 强耦合

DOI:
10.1007/jhep03(2020)190
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发表时间:
2019
期刊:
arXiv: High Energy Physics - Theory
影响因子:
--
通讯作者:
H. Paul
H. Paul
中科院分区:
--
文献类型:
--
作者:
F. Aprile;James R. Drummond;P. Heslop;H. Paul

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在超引力条件下,我们研究了最大超对称杨-米尔斯相关器的结构。我们开发了一个算法来构造四个任意Kaluza-Klein超重力态的单圈超引力振幅,适当地对偶为单粒子算符。我们通过构造多通道相关函数的新的显式结果来说明该算法,并且我们证明了在树级退化的相关器在单环上是可区分的。该算法包含了许多直到现在还没有出现过的微妙特征。特别是,我们解决了OPE中非平凡的低扭度保护算子的存在,这些算子对于获得正确的单环结果至关重要。最后,我们概述了如何使用在树级隐藏的10d共形对称性的上下文中起作用的微分算子$\widehat{\mathcal{D}}_{PQRS}$和$\Delta^{(8)}$来重组我们的单圈相关器。
We explore the structure of maximally supersymmetric Yang-Mills correlators in the supergravity regime. We develop an algorithm to construct one-loop supergravity amplitudes of four arbitrary Kaluza-Klein supergravity states, properly dualised into single-particle operators. We illustrate this algorithm by constructing new explicit results for multi-channel correlation functions, and we show that correlators which are degenerate at tree level become distinguishable at one-loop. The algorithm contains a number of subtle features which have not appeared until now. In particular, we address the presence of non-trivial low twist protected operators in the OPE that are crucial for obtaining the correct one-loop results. Finally, we outline how the differential operators $\widehat{\mathcal{D}}_{pqrs}$ and $\Delta^{(8)}$, which play a role in the context of the hidden 10d conformal symmetry at tree level, can be used to reorganise our one-loop correlators.
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