{
  "abstract": "Recent work has shown that maximal supersymmetry, combined with a particular scalar-parity condition at six points, imposes nonlinear constraints on four-point effective field theory amplitudes. Numerical bootstrap studies incorporating unitarity provide evidence for the Veneziano amplitude in maximally supersymmetric Yang--Mills theory and for the Virasoro--Shapiro amplitude, together with infinite-spin alternatives, in supergravity. In this paper, we establish these constraints to all orders in the low-energy expansion. The derivation uses a collinear limit in which three three-particle factorization channels, or six in gravity, simultaneously go on shell. A scalar-parity projection and a single discrete R-symmetry eliminate the unknown six-point remainder, leaving three-term master equations determined entirely by four-point factorization. Solving these equations proves the conjectured exponential forms and provides a map that reconstructs the full amplitude from its regular forward limit. Under explicit analytic and positive dispersive assumptions, the fixed reflection-even part of the gauge-theory exponential determines the forward spectral measure and uniquely selects the Veneziano amplitude, with finite-spin residues emerging as a consequence. In gravity, the exponential leaves the forward measure undetermined: a measure supported at a single massive level reconstructs an amplitude with infinitely many exchanged spins at that mass. Finite-spin support at the lowest massive pole is therefore an additional assumption required to select the Virasoro--Shapiro amplitude within the stated ultraviolet framework.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.02124",
  "author_total": 4,
  "authors": [
    {
      "name": "Yu-tin Huang"
    },
    {
      "name": "Shi-Lin Wan"
    },
    {
      "name": "Zhuo-Hui Wang"
    },
    {
      "name": "Shuang-Yong Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0knhv2dn6gpwh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02124",
  "fulltext_url": null,
  "id": "0knhv2dn6gpwh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.02124",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7215748233",
  "pdf_url": "https://arxiv.org/pdf/2610.02124",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0knhv2dn6gpwh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2610.02124",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02124"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Infrared Consistency and the Uniqueness of String Amplitudes",
  "title_text": "Infrared Consistency and the Uniqueness of String Amplitudes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:03Z",
  "url": "https://research.draconitic.com/paper/0knhv2dn6gpwh",
  "venue": "arXiv",
  "versions": []
}