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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 6 Pith papers

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

  1. 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.

  2. Unitary Dual-Resonance S-matrices

    hep-th 2026-07 conditional novelty 7.0 of 10

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

  3. 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.

  4. 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...

  5. 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.

  6. 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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