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Where is M-theory in the space of scattering amplitudes?

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arxiv 2212.00151 v1 pith:WI47YWBA submitted 2022-11-30 hep-th

Andrea Guerrieri , Harish Murali , Joao Penedones , Pedro Vieira This is my paper · ORCID
classification hep-th
keywords alphaamplitudesdimensionsm-theoryvalueminimalnumericalscattering
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We use the S-matrix bootstrap to carve out the space of unitary, analytic, crossing symmetric and supersymmetric graviton scattering amplitudes in nine, ten and eleven dimensions. We extend and improve the numerical methods of our previous work in ten dimensions. A key new tool employed here is unitarity in the celestial sphere. In all dimensions, we find that the minimal allowed value of the Wilson coefficient $\alpha$, controlling the leading correction to maximal supergravity, is very close but not equal to the minimal value realized in Superstring theory or M-theory. This small difference may be related to inelastic effects that are not well described by our numerical extremal amplitudes. Although $\alpha$ has a unique value in M-theory, we found no evidence of an upper bound on $\alpha$ in 11D.

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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. (Super)$\,$Gravity from Positivity

    hep-th 2025-07 conditional novelty 8.0 of 10

    Positivity of scattering amplitudes forces weakly coupled EFTs of a massive spin-3/2 particle to include gravity, and for charged states a gauged photon with g=2 and WGC-saturating charge.

  2. Higher-Spin and Higher-Point Constraints on Stringy Amplitudes

    hep-th 2026-03 conditional novelty 6.0 of 10

    Factorization at the second excited mass level forces the Regge intercept to the bosonic string value, and large-level multipositivity bounds forbid the simplest Gross satellite deformation of four-point superstring a...

  3. Cross-Section Bootstrap: Unveiling the Froissart Amplitude

    hep-th 2025-06 conditional novelty 6.0 of 10

    A universal finite-energy upper bound on the integrated cross-section for identical scalars is derived; the conjectured saturating "Froissart amplitude" shows Regge trajectories, a rising cross-section, and annulus-li...

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