{
  "abstract": "We prove braided tensor equivalences between the categories of weight modules of the affine vertex algebra of $\\mathfrak{sl}_2$ at any admissible level and categories associated to partially semisimplified versions of quantum $\\mathfrak{sl}_{2|1}$ at roots of unity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12895",
  "author_total": 2,
  "authors": [
    {
      "name": "Thomas Creutzig"
    },
    {
      "name": "Simon D. Lentner"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4es557tfnq1s2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12895",
  "fulltext_url": null,
  "id": "4es557tfnq1s2",
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  "landing_url": "https://arxiv.org/abs/2609.12895",
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
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    [
      "arxiv",
      "math.QA"
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      "arxiv",
      "math.RT"
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    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
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  "openalex": "W7212973304",
  "pdf_url": "https://arxiv.org/pdf/2609.12895",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4es557tfnq1s2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2609.12895",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12895"
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  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Affine $\\mathfrak{sl}_2$ at admissible levels and quantum $\\mathfrak{sl}_{2|1}$",
  "title_text": "Affine sl_2 at admissible levels and quantum sl_2|1",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/4es557tfnq1s2",
  "venue": "arXiv",
  "versions": []
}