{
  "abstract": "We study a new class of M2-brane matrix models associated with affine BC and twisted affine AD quivers. These models exhibit the characteristic $N^{3/2}$ scaling of the free energy in the large $N$ limit. We establish a Fermi gas formalism and demonstrate that their grand canonical sum is given by a Fredholm Pfaffian, which is in parallel with the affine D quiver matrix models. The resulting Fermi gas density matrix shows a rational dependence on the canonical position/momentum operators in addition to the standard hyperbolic dependence. This leads to unconventional sub-leading corrections, which obstruct the Airy function structure in the $1/N$ expansion of the free energy observed in the previously studied M2-brane matrix models.",
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  "article_type": null,
  "arxiv": "2609.20806",
  "author_total": 2,
  "authors": [
    {
      "name": "Taro Kimura"
    },
    {
      "name": "Tomoki Nosaka"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3d2jctzxshrs4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20806",
  "fulltext_url": null,
  "id": "3d2jctzxshrs4",
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  "landing_url": "https://hal.science/hal-05754935v1",
  "language": "en",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "hep-th"
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  "openalex": "W7213598542",
  "pdf_url": "https://arxiv.org/pdf/2609.20806",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3d2jctzxshrs4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:36Z",
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      "url": "https://hal.science/hal-05754935v1"
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      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2609.20806",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20806"
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  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "M2-brane matrix models and Fermi gas on affine ABCD quivers",
  "title_text": "M2-brane matrix models and Fermi gas on affine ABCD quivers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:19Z",
  "url": "https://research.draconitic.com/paper/3d2jctzxshrs4",
  "venue": "HAL",
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}