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    "paper_id": "34fac3d3-7f8c-40b5-b5c3-59163f46e8ad",
    "contributor_id": 3,
    "contributor_name": "ChenqiMeng",
    "base_hash": "e59efb3016b7fb48c69ff6db6946922b9148646259bb439470ae31b9bac9041e",
    "title": "Introduction to Vertex Operator Algebras",
    "authors": "Chenqi Meng",
    "abstract": "Vertex operator algebra is a rigorous formulation of 2D chiral conformal field theory. This note reviews (will do!) its definition, construction, and properties. It in particular emphasizes the field (mathematics)-like properties of a VOA. A VOA can be viewed as a quantized field. We will eventually (hopefully) arrive at the quantum Galois theory of VOA.",
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    "explanation": "Changed abstract and the introduction.",
    "submitted_at": "2026-10-27T12:45:32.838970+00:00",
    "primary_category": "math.QA",
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    "license": "CC0-1.0",
    "agreement": {
      "version": "2026-10-19",
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      "accepted_at": "2026-10-19T07:28:05.223110+00:00",
      "acceptance_id": 1
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    "chapters": [
      {
        "id": "about-this-note",
        "title": "About this note",
        "markdown_sha256": "a282a43eb783f5bc83de0faf631ac4e39c5bdccf82ea5833650b22c2cc2081c2"
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      {
        "id": "vertex-algebras",
        "title": "Vertex algebras: definitions and properties",
        "markdown_sha256": "5ec3e1c62e702864594c560deb3e58daf016b3f8e6475d956569a16611c8ae94"
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      {
        "id": "vertex-operator-algebras",
        "title": "Vertex operator algebras",
        "markdown_sha256": "604882c85317ccc6722036703f1fe2d74b4852e8ae3619e9be5c427ac6b48c80"
      },
      {
        "id": "correlation-functions",
        "title": "Chiral correlation functions",
        "markdown_sha256": "915a637dc27b1a98d4f2ff519418227c5b3077d5ae8dfde50f72436f4df01159"
      },
      {
        "id": "modules",
        "title": "Modules and intertwining operators",
        "markdown_sha256": "871265dff96061879b1043ffa4a96caf4160999fd3b86790b402123fb2df09fb"
      },
      {
        "id": "tensor-categories",
        "title": "Vertex tensor categories",
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      },
      {
        "id": "extensions",
        "title": "Extensions and quantum Galois theory",
        "markdown_sha256": "c1e98b4a28cb2e251c5f567aaee28731ec3e65017abe73c18f978350a2f22557"
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    ],
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  "licensing": {
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    "label": "CC0 1.0",
    "url": "https://creativecommons.org/publicdomain/zero/1.0/",
    "description": "Dedicate the work to the public domain to the extent legally possible. Reuse does not require attribution under CC0.",
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