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Graviton partial waves and causality in higher dimensions

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arxiv 2205.01495 v1 pith:EO4SB647 submitted 2022-05-03 hep-th gr-qc

Simon Caron-Huot , Yue-Zhou Li , Julio Parra-Martinez , David Simmons-Duffin This is my paper · ORCID
classification hep-thgr-qc
keywords boundsdimensionsgravitonpartialrelativitys-matrixwavesambiguities
verification ladder T0 review T1 audit T2 compute T3 formal
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Do gravitational interactions respect the basic principles of relativity and quantum mechanics? We show that any graviton S-matrix that satisfies these assumptions cannot significantly differ from General Relativity at low energies. We provide sharp bounds on the size of potential corrections in terms of the mass M of new higher-spin states, in spacetime dimensions D>=5 where the S-matrix does not suffer from infrared ambiguities. The key novel ingredient is the full set of SO(D-1) partial waves for this process, which we show how to efficiently compute with Young tableau manipulations. We record new bounds on the central charges of holographic conformal theories.

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Cited by 4 Pith papers

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

  1. Bootstrapping black holes at low impact parameter

    hep-th 2026-07 conditional novelty 7.0 of 10

    After subtracting the eikonal carrier, the residual SDR spectrum in six dimensions organizes into a cap-saturated low-impact band, an empty gap, and Regge-like ridges whose weak-coupling edge is the G_N=0 baseline.

  2. Running Love Numbers and the Effective Field Theory of Gravity

    hep-th 2025-01 conditional novelty 7.0 of 10

    Higher-derivative gravity corrections induce non-zero, classically running tidal Love numbers for black holes, computed here with a new tidal Green function method.

  3. The EFT Bootstrap at Finite $M_{PL}$

    hep-th 2025-01 conditional novelty 7.0 of 10

    One-loop gravity effects make forward-limit positivity bounds ill-defined for massless scalar-gravity EFTs, forcing non-forward dispersion relations that shift the tree-level bounds by order-one factors.

  4. Bootstrapping Gravity with Crossing Symmetric Dispersion Relations

    hep-th 2025-06 conditional novelty 5.0 of 10

    A crossing-symmetric dispersion-relation bootstrap reproduces known gravitational EFT bounds and gives new tree-level limits on the graviton coupling to a massive spin-4 state.

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