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

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arxiv 2302.01896 v1 pith:U6VLJZAZ submitted 2023-02-03 hep-th

classification hep-th
keywords functionsfive-pointkaluza-kleincorrelatorsformhighermethodmodes
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dissecting supergraviton six-point function with lightcone limits and chiral algebra

    hep-th 2025-02 conditional novelty 7.0 of 10

    A bootstrap combining lightcone OPEs with chiral algebra and a topological twist determines the six-point supergraviton Mellin amplitude in AdS5 x S5 up to an overall constant, passing a flat-space KLT check.

  2. Composite operators in $\mathcal{N}=4$ Super Yang-Mills

    hep-th 2024-12 conditional novelty 6.0 of 10

    Protected symmetry data alone fix the tree-level supergravity correlators of dimension-four double-trace operators, revealing anomalous dimensions for triple-trace operators.

  3. Meson correlators in 4d $\mathcal{N}=2$ SCFTs and hints for 8d structures at weak coupling

    hep-th 2024-12 conditional novelty 6.0 of 10

    One-loop meson correlators in two N=2 SCFTs resum into generating functions that display hidden 8d conformal structure at weak coupling.

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