{
  "abstract": "We study the Duflo--Serganova functor for vertex algebras of chiral differential operators on classical invariant rings, introduced in \\cite{ADS}. Our main result is a general cancellation theorem showing that a common bosonic and fermionic summand can be removed by Duflo--Serganova reduction. We apply this theorem to obtain Duflo--Serganova reduction isomorphisms for two families of simple orthosymplectic affine vertex superalgebras at levels $-2n$ and $n$, which are not covered by the existing results of Gorelik and Serganova. As a consequence, we obtain supercharacter identities, including the conjecture of Adamović and Milas as a special case.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34954",
  "author_total": 3,
  "authors": [
    {
      "name": "Tomoyuki Arakawa"
    },
    {
      "name": "Xuanzhong Dai"
    },
    {
      "name": "Bailin Song"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fwjqpfm9v9pa4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34954",
  "fulltext_url": null,
  "id": "fwjqpfm9v9pa4",
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  "landing_url": "https://arxiv.org/abs/2610.34954",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "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": "W7224001145",
  "pdf_url": "https://arxiv.org/pdf/2610.34954",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fwjqpfm9v9pa4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.34954",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34954"
    }
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Duflo--Serganova functor for chiral differential operators on classical invariant rings",
  "title_text": "Duflo--Serganova functor for chiral differential operators on classical invariant rings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/fwjqpfm9v9pa4",
  "venue": "arXiv",
  "versions": []
}