2024/09/14 by Gareth Mansfield, Mansfield, Gareth, Marcus Spradlin +1
Engineering · #Advanced Numerical Analysis Techniques #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.2409.09561
openalex publication_date 2024/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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,m2,D) parameter space as non-unitary, and establish another large subset of the (r, m2, 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.