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    "submission_id": "e0b4caa1-ccd5-4a22-842c-8b3f0c05183f",
    "paper_id": "3e440f74-ebe3-4097-a243-7b6bf74f1c87",
    "contributor_id": 3,
    "contributor_name": "ChenqiMeng",
    "base_hash": "8c459a5452a5f3f053bd50c81818b159f4a9a7860028651c05be4dfba55bce1a",
    "title": "Vertex Operator Superalgebras and the Majorana Fermion",
    "authors": "Chenqi Meng",
    "abstract": "An introduction to vertex superalgebras and vertex operator superalgebras, with the free Majorana fermion as a worked example. The note develops signed identities, normal ordering, the Clifford realization, and the relation to the Ising VOA. Wick’s theorem gives Pfaffian formulas for vacuum correlation functions and for amplitudes with specified local coordinates. Regularized contractions encode descendant transformations and lead to efficient finite-matrix calculations. Further properties and computations are presented as exercises.",
    "markdown_sha256": "4b624802c1f393b17653c125b4adeb709ba341b49f5eeb30583d2798ff11d007",
    "explanation": "Separate the independent VOSA note into two chapters: Definitions and properties, and The Majorana fermion. Keep the general axioms, normal ordering, and property exercises in the first chapter; group the Clifford construction, Ising identification, Wick theorem, and local-coordinate Pfaffian amplitudes in the second. Move the general ideal and simplicity definitions to the first chapter and preserve the remaining mathematical content and CC BY 4.0 license.",
    "submitted_at": "2026-10-30T14:27:43.457777+00:00",
    "primary_category": "math.QA",
    "secondary_categories": [
      "math-ph"
    ],
    "license": "CC-BY-4.0",
    "agreement": {
      "version": "2026-10-19",
      "sha256": "12b437586e9f6a916c0b0d51430548ea47e644ef7d714f091056eb028088b106",
      "accepted_at": "2026-10-19T07:28:05.223110+00:00",
      "acceptance_id": 1
    },
    "chapters": [
      {
        "id": "definitions-and-properties",
        "title": "Definitions and properties",
        "markdown_sha256": "07485cb705564c1486410b5c6cb78daa875e6488d3922d413cdab8e94691b06f"
      },
      {
        "id": "majorana-fermion",
        "title": "The Majorana fermion",
        "markdown_sha256": "2c86e3049973d2823ac01d7d87f92ace653dea68b8dedcae4c7868f82838cd34"
      }
    ],
    "bibliography_sha256": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"
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  "licensing": {
    "code": "CC-BY-4.0",
    "label": "CC BY 4.0",
    "url": "https://creativecommons.org/licenses/by/4.0/",
    "description": "Share and adapt, including commercially, with attribution and notice of changes.",
    "declaration": null
  }
}