{
  "abstract": "In this paper, we introduce the double super Yangian $\\mathrm{DY}_{h}(\\mathfrak{gl}_{m|n}^{\\mathfrak{s}})$ and $\\mathrm{DY}_{h}(\\mathfrak{sl}_{m|n}^{\\mathfrak{s}})$ associated with any fixed $0^{m}1^{n}$-sequence $\\mathfrak{s}$. First, we establish an explicit isomorphism between the Drinfeld and R-matrix presentations of $\\mathrm{DY}_{h}(\\mathfrak{gl}^{\\mathfrak{s}}_{m|n})$. We then generalize the notion of the quantum Berezinian to $\\mathrm{DY}_{h}(\\mathfrak{gl}_{m|n}^{\\mathfrak{s}})$, and employ it to construct the R-matrix presentation of $\\mathrm{DY}_{h}(\\mathfrak{sl}_{m|n}^{\\mathfrak{s}})$ and prove that it is isomorphic to the Drinfeld presentation. As an application, we present level-1 bosonic representations for $\\mathrm{DY}_{h}(\\mathfrak{gl}_{m|n}^{\\mathfrak{s}})$ and $\\mathrm{DY}_{h}(\\mathfrak{sl}_{m|n}^{\\mathfrak{s}})$ in terms of their Drinfeld current generators.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.01031",
  "author_total": 3,
  "authors": [
    {
      "name": "Pengfa Xu"
    },
    {
      "name": "Hongda Lin"
    },
    {
      "name": "Honglian Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/54q389dnd2xrv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.01031",
  "fulltext_url": null,
  "id": "54q389dnd2xrv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.01031",
  "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",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7172399858",
  "pdf_url": "https://arxiv.org/pdf/2608.01031",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/54q389dnd2xrv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2608.01031",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.01031"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The double super Yangians in type A for arbitrary $0^m 1^n$-sequences and their bosonic representations",
  "title_text": "The double super Yangians in type A for arbitrary 0^m 1^n-sequences and their bosonic representations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/54q389dnd2xrv",
  "venue": "arXiv",
  "versions": []
}