{
  "abstract": "For a quantum affine superalgebra with a fixed Drinfeld current presentation, we study shifted quantum affine superalgebras through a two-sided shifted Drinfeld current presentation, in which the leading degrees of the Cartan--Drinfeld currents are modified while the remaining current and Serre relations are retained. We then focus on the standard-parity type A algebras $\\mathcal U_q^{μ_+,μ_-}(\\widehat{\\mathfrak{sl}}_{m|n})$. For arbitrary shifts and $m,n\\ge1$, $m\\ne n$, we prove a triangular decomposition. When $m,n>1$, we obtain PBW--Drinfeld bases for arbitrary shifts and a Levendorskii-type finite presentation of the one-sided algebra $\\mathcal U_q^{0,μ}$ for every antidominant $μ$. For antidominant two-sided shifts, we construct shifted RTT realizations and prove the corresponding Ding--Frenkel isomorphisms. We construct a shifted formal Drinfeld coproduct for arbitrary two-sided shifts, coassociative in a completed tensor product. Shifted RTT realizations yield non-completed one-sided coproducts in the antidominant region, made explicit on finitely many generators by the finite presentation; injective shift homomorphisms extend them to arbitrary one-sided shifts. Their ternary coassociativity holds whenever the middle shift is antidominant, including boundary cases. Finally, for two-sided antidominant shifts $μ_+,μ_-\\inΛ^-$, a shifted full general-linear Ding--Frenkel isomorphism identifies the special-linear simple-current algebra as the fixed algebra under common scalar rescalings and yields coassociative two-sided non-completed coproducts.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05228",
  "author_total": 3,
  "authors": [
    {
      "name": "Piao-Juan Hu"
    },
    {
      "name": "Jian-Rong Li"
    },
    {
      "name": "Yan-Feng Luo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b7pg7bpy8mk6s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05228",
  "fulltext_url": null,
  "id": "b7pg7bpy8mk6s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.05228",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7220672643",
  "pdf_url": "https://arxiv.org/pdf/2610.05228",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b7pg7bpy8mk6s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2610.05228",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05228"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Shifted quantum affine superalgebras",
  "title_text": "Shifted quantum affine superalgebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/b7pg7bpy8mk6s",
  "venue": "arXiv",
  "versions": []
}