UV-Complete Gravity Amplitudes and the Triple Product

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 $\mathcal{A}(s)\mathcal{A}(t)\mathcal{A}(u)$. 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.

6 pages, 1 figure

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Cited by in corpus (21)

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• Veneziano Variations: How Unique are String Amplitudes?
• Generalized Veneziano and Virasoro amplitudes
• Stringy Dynamics from an Amplitudes Bootstrap
• Bespoke Dual Resonance
• Multiparticle Factorization and the Rigidity of String Theory
• UV graviton scattering and positivity bounds from IR dispersion relations
• Accumulation-Point Amplitudes in String Theory
• Properties of infinite product amplitudes: Veneziano, Virasoro, and Coon
• Bootstrap Principle for the Spectrum and Scattering of Strings
• On the positivity of Coon amplitude in D=4
• Cutting the Coon Amplitude
• Celestial insights into the S-matrix bootstrap
• Effective Field Theory Islands from Perturbative and Nonperturbative Four-Graviton Amplitudes
• Uniqueness Criteria for the Virasoro-Shapiro Amplitude
• Multipositivity Bounds for Scattering Amplitudes
• Lectures in Quantum Gravity
• Positivity bounds at one-loop level: the Higgs sector
• Strings from Almost Nothing
• Worldsheet for Generalized Veneziano Amplitudes
• Higher-Spin and Higher-Point Constraints on Stringy Amplitudes