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On Unitarity of the Hypergeometric Amplitude

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arxiv 2409.09561 v2 pith:B3IV7KUO submitted 2024-09-14 hep-th

Gareth Mansfield , Marcus Spradlin This is my paper · ORCID
classification hep-th
keywords amplitudehypergeometricvenezianocoefficientslargeparameterpartialpositivity
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abstract

The hypergeometric amplitude is a one-parameter deformation of the Veneziano amplitude for four-point tachyon scattering in bosonic string theory that is consistent with $S$-matrix bootstrap constraints. In this article we construct a similar hypergeometric generalization of the Veneziano amplitude for type-I superstring theory. We then rule out a large region of the $(r,m^2,D)$ parameter space as non-unitary, and establish another large subset of the $(r, m^2, D)$ parameter space where all of the residue's partial wave coefficients are positive. We also analyze positivity in various limits and special cases. As a corollary to our analysis, we are able to directly demonstrate positivity of a wider set of Veneziano amplitude partial wave coefficients than what has been presented elsewhere.

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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. Bootstrapping Extremal Scalar Amplitudes With and Without Supersymmetry

    hep-th 2024-12 conditional novelty 7.0 of 10

    The full space of allowed four-point scalar amplitudes is conjectured to be the convex hull of a single scalar amplitude and a one-parameter family of extremal theories, generatable from maximally supersymmetric amplitudes.

  2. 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.

  3. 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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