{
  "abstract": "It is known due to a result of Miyamoto that zero mode correlators of weight $1$ vectors of vertex operator algebras are quasi-modular forms, and that their generating series are Jacobi forms. In this article we generalize this to higher weight vectors. We consider weight 2 vectors that generate what we call heavy Heisenberg algebras. We prove that their zero mode correlators are a specific type of quasi-modular forms. As a consequence, they too can be summed up into a generating series with Jacobi-like modular transformation properties. As an application of our results, we sketch an argument that gives the asymptotic behavior of the dimensions of states of our VOAs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35749",
  "author_total": 2,
  "authors": [
    {
      "name": "Darlayne Addabbo"
    },
    {
      "name": "Christoph A. Keller"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bgv6sg1w34k1s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35749",
  "fulltext_url": null,
  "id": "bgv6sg1w34k1s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35749",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7223883143",
  "pdf_url": "https://arxiv.org/pdf/2610.35749",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bgv6sg1w34k1s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.35749",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35749"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Heavy Heisenberg Algebras, Zero Modes and Modularity",
  "title_text": "Heavy Heisenberg Algebras, Zero Modes and Modularity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:43Z",
  "url": "https://research.draconitic.com/paper/bgv6sg1w34k1s",
  "venue": "arXiv",
  "versions": []
}