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All Tree-Level Correlators for M-theory on $AdS_7 \times S^4$

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arxiv 2006.06653 v3 pith:KV2DPG5K submitted 2020-06-11 hep-th

classification hep-th
keywords correlatorsfour-pointfullypartspacetimestree-levelamplitude
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a constructive derivation of all four-point tree-level holographic correlators for eleven dimensional supergravity on $AdS_7 \times S^4$. These correlators correspond to four-point functions of arbitrary one-half BPS operators in the six-dimensional $(2,0)$ theory at large central charge. The crucial observation is that the polar part of the correlators in Mellin space is fully captured by a drastically simpler Maximally R-symmetry Violating (MRV) amplitude, while the contact part is fully fixed by superconformal Ward identities and the flat space limit.

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Cited by 2 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. Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect

    hep-th 2025-06 conditional novelty 4.0 of 10

    A chiral-algebra bootstrap reproduces the defect two-point correlators of the 6d (2,0) theory using only bulk-channel data and predicts new defect-channel OPE coefficients.

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