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    "contributor_id": 3,
    "contributor_name": "ChenqiMeng",
    "base_hash": "96b81e26267ea6a003259e857b5f186a1a324cf554f662dcfff8f0d72b431829",
    "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": "A bug",
    "submitted_at": "2026-10-28T08:03:49.684859+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",
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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": "cced358859fb48335d95d5c86362e2c1b94bd698b3805a612b196f644d032f92"
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      {
        "id": "vertex-operator-algebras",
        "title": "Vertex operator algebras",
        "markdown_sha256": "5a01abd6cde36484a6fb2f0909968d7a458a8a61ba8eb702ddd39e927b7a7e9f"
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      {
        "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",
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    ],
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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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