{
  "abstract": "The code $\\{000,220,202,022\\}\\subset\\mathbb{Z}_4^3$ realizes the split $A_3$ root-weight gluing construction as ordinary Construction A, preserving the Lorentzian pairing and the positive energy form. For two hyperbolic pairs of $A_3$ blocks, the twenty-two even self-dual gluing codes form seven block-monomial classes. Explicit metric and $B$-field representatives and theta series distinguish exactly seven T-duality classes in this family at central charge six; the one-pair family has two classes at central charge three. For arbitrary $d$, the chiral root system on either side is $A_1^{3m}$, where $m$ counts the words $(2e_i,2e_i)$ in the gluing code. Exactly one two-pair class has no zero-$B$ T-duality frame. Intersections of gluing codes determine finite shift orbifolds between the backgrounds, with the target code specifying the twisted-sector projections.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26610",
  "author_total": 2,
  "authors": [
    {
      "name": "Rajae Sammani"
    },
    {
      "name": "Abdellah Sebbar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/23dedz5jt4338.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26610",
  "fulltext_url": null,
  "id": "23dedz5jt4338",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26610",
  "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"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223068643",
  "pdf_url": "https://arxiv.org/pdf/2610.26610",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/23dedz5jt4338.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26610",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26610"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "The $A_3$ Narain family over $\\mathbb{Z}_4$",
  "title_text": "The A_3 Narain family over ℤ_4",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/23dedz5jt4338",
  "venue": "arXiv",
  "versions": []
}