{
  "abstract": "We develop a topological and combinatorial interpretation of the Kawai--Lewellen--Tye (KLT) relations for $n$-point AdS string-amplitude building blocks, which are disk integrals with multivariable multiple polylogarithm insertions and sphere integrals with their single-valued counterparts. Building on the framework of twisted de Rham theory over a noncommutative ring, we reformulate the problem in terms of associahedral chambers of the moduli space loaded with solutions of the Knizhnik--Zamolodchikov equation. We construct regularized twisted cycles and express their intersection pairings through local monodromies and Drinfeld associators, which control transport between fusion-tree normalizations. Organizing the intersection contributions by common boundary faces yields the intersection matrix, which is identified with the inverse KLT kernel by the twisted period relation. The field-theory limit of the inverse KLT kernel is also given.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30862",
  "author_total": 2,
  "authors": [
    {
      "name": "Yi-Xiao Tao"
    },
    {
      "name": "Shijie Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/43fmqszmcx6rs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30862",
  "fulltext_url": null,
  "id": "43fmqszmcx6rs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30862",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223297985",
  "pdf_url": "https://arxiv.org/pdf/2610.30862",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/43fmqszmcx6rs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.30862",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30862"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Inverse KLT kernel of AdS string integrals from the intersection matrix",
  "title_text": "Inverse KLT kernel of AdS string integrals from the intersection matrix",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/43fmqszmcx6rs",
  "venue": "arXiv",
  "versions": []
}