{
  "abstract": "This paper constructs the cohomology theory for grading-restricted vertex superalgebras, generalizing Yi-Zhi Huang's cohomology theory of grading-restricted vertex algebras. To simplify the discussion, motivate the construction, and make it easier for the reader to understand the technical points, we also include the construction of the cohomology theory of supercommutative associative algebras, a generalization of the Harrison cohomology theory of a commutative algebra that has not been explicitly written down. The paper will serve as the foundation for many subsequent studies, especially the deformation theory of vertex superalgebras.",
  "abstract_shown": true,
  "affiliations": [
    "University of Denver, USA",
    "Sun Yat-Sen University, P.R. China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Paul Johnson"
    },
    {
      "affs": [
        1
      ],
      "name": "Fei Qi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/41zragzkb7q24.bib",
  "cited_by": 0,
  "doi": "10.3842/sigma.2026.103",
  "fulltext_url": null,
  "id": "41zragzkb7q24",
  "issns": [
    "1815-0659"
  ],
  "landing_url": "https://sigma-journal.com/2026/103/",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": "SIGMA (Symmetry, Integrability and Geometry: Methods and Application)",
  "ris": "https://research.draconitic.com/paper/41zragzkb7q24.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:27Z",
      "native_id": "10.3842/sigma.2026.103",
      "source": "crossref",
      "url": "https://sigma-journal.com/2026/103/"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:1815-0659",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "A Cohomology Theory of Supercommutative Algebras and Grading-Restricted Vertex Superalgebras",
  "title_text": "A Cohomology Theory of Supercommutative Algebras and Grading-Restricted Vertex Superalgebras",
  "type": "peer-reviewed",
  "updated_at": "2026-10-31T00:20:45Z",
  "url": "https://research.draconitic.com/paper/41zragzkb7q24",
  "venue": "Symmetry, Integrability and Geometry: Methods and Applications",
  "versions": []
}