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arXiv 2302.01896hep-th
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$\textrm{AdS}_5\times S_5$超引力的Kaluza-Klein五点函数

Kaluza-Klein Five-Point Functions from $\textrm{AdS}_5\times S_5$ Supergravity

Vasco Gonçalves, Carlo Meneghelli, Raul Pereira, Joao Vilas Boas, Xinan Zhou

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43 pages, 2 figures
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摘要：

我们继续探讨的自举方法的五点关联函数的IIB超引力$AdS_5\times S^5$。基于[1]的结果，我们开发了一种改进的算法，使我们能够更有效地计算更高的Kaluza-Klein模式的分解子。新方法仅使用因式分解和超共形扭曲，并且完全在Mellin空间内，其中全息图的解析结构更简单。利用这种方法，我们得到了形式为$\langle pp222\rangle$的所有五点函数的封闭形式，推广了早先关于$p=2$的结果.作为我们的分析的副产品，我们也得到了明确的结果自旋四点函数的更高的卡鲁扎-克莱因模式。

英文摘要：

We continue to explore the bootstrap approach to five-point correlation functions for IIB supergravity on $AdS_5\times S^5$. Building on the result of [1], we develop an improved algorithm that allows us to more efficiently compute correlators of higher Kaluza-Klein modes. The new method uses only factorization and a superconformal twist, and is entirely within Mellin space where the analytic structure of holographic correlators is simpler. Using this method, we obtain in a closed form all five-point functions of the form $\langle pp222\rangle$, extending the earlier result for $p=2$. As a byproduct of our analysis, we also obtain explicit results for spinning four-point functions of higher Kaluza-Klein modes.

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