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UV-Complete Gravity Amplitudes and the Triple Product

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arxiv 2203.00696 v2 pith:S2QPUMGP submitted 2022-03-01 hep-th gr-qc

classification hep-thgr-qc
keywords amplitudesenergiesgravityinfiniteaccumulationclassconstructeinstein
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We construct an infinite class of new ultraviolet-complete four-graviton scattering amplitudes that reduce to Einstein gravity at low energies, vanish at high energies, are meromorphic, and exhibit a triple-product structure ${\cal A}(s){\cal A}(t){\cal A}(u)$. The spectrum invariantly exhibits accumulation points in the form of infinite towers of states on each mass pole, whose residue can be positively expanded on tree-level exchanges of irreducible representations of the Lorentz group.

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Forward citations

Cited by 8 Pith papers

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

  1. Multipositivity Bounds for Scattering Amplitudes

    hep-th 2025-05 conditional novelty 8.0 of 10

    Scattering residues at any multiplicity form positive semidefinite moment matrices, yielding an infinite web of multipositivity bounds that the open string exactly saturates.

  2. Partial Waves for Multipositivity

    hep-th 2026-08 conditional novelty 7.0 of 10

    The paper constructs kinematic charts and partial-wave expansions for four-, five-, and six-point massless planar amplitudes tailored to multipositivity bounds.

  3. Analytic Boundaries of Infinite-Spin-Tower Amplitudes from Hidden Zero

    hep-th 2026-07 conditional novelty 7.0 of 10

    The exact analytic boundary of unitary infinite-spin-tower amplitudes is derived and shown to be maximal unless energy poles accumulate.

  4. Unitary Dual-Resonance S-matrices

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    Smearing Veneziano blocks over continuous Regge slopes yields local, analytic, crossing-symmetric S-matrices with full partial-wave unitarity and controllable second-sheet resonances.

  5. Strings from Almost Nothing

    hep-th 2025-08 conditional novelty 7.0 of 10

    Ultrasoft, minimally structured scattering amplitudes are forced onto the Veneziano and Virasoro-Shapiro amplitudes of string theory.

  6. 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...

  7. Worldsheet for Generalized Veneziano Amplitudes

    hep-th 2025-11 conditional novelty 6.0 of 10

    A chiral composite linear dilaton worldsheet action reproduces Mandelstam's generalized Veneziano amplitudes and yields new partially crossing-symmetric higher-point and closed-string amplitudes.

  8. Analytic bootstrap bounds on masses and spins in gravitational and non-gravitational scalar theories

    hep-th 2024-12 reject novelty 6.0 of 10

    The authors derive 'Sequential Spin and Mass Constraints' for su-symmetric and stu-symmetric four-point amplitudes, claiming any weakly-coupled spectrum must have ordered spins and bounded mass ratios.

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