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On Unitarity of Bespoke Amplitudes

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arxiv 2406.04410 v2 pith:OWA4NFNK submitted 2024-06-06 hep-th

Rishabh Bhardwaj , Marcus Spradlin , Anastasia Volovich , He-Chen Weng This is my paper · ORCID
classification hep-th
keywords bespokeamplitudesasymptoticallypartialreggesatisfyunitaritywave
verification ladder T0 review T1 audit T2 compute T3 formal
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We use partial wave unitarity to constrain various bespoke four-point amplitudes. We start by constructing bespoke generalizations of the type I superstring amplitude, which we show satisfy dual resonance and have suitable high-energy limits. By analyzing the behavior of partial wave coefficients for highly massive states, we strictly rule out all bespoke amplitudes with asymptotically non-linear Regge trajectories and place constraints on the first few non-trivial parameters in asymptotically linear cases. Finally, we argue that while a large class of unitary bespoke amplitudes fails to satisfy Regge Sum Rules, there exists a smaller sub-class with a vanishing mass gap that is superpolynomially bounded.

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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. 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.

  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. 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.

  4. 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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