{
  "abstract": "We solve exactly the leading quantum deformation of the two-point metric of half-BPS operators in $U(2)\\times U(2)$ ABJM theory at finite rank. In the natural coupling-independent Schur frame, its tree-normalized two-loop correction is a Jacobi operator on the chain of two-row Young diagrams. A ground-state transform maps it to a reversible birth--death process whose stationary distribution is the Plancherel measure conditioned on diagrams with at most two rows. Its eigenmodes are Racah polynomials, its large-$n$ limit approaches radial Ornstein--Uhlenbeck dynamics, and an equivalent two-spin description identifies the Jacobi operator with a restricted $SU(2)$ Casimir.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05653",
  "author_total": 1,
  "authors": [
    {
      "name": "Marco S. Bianchi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8j2jsf0kg91k2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05653",
  "fulltext_url": null,
  "id": "8j2jsf0kg91k2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05653",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7212055506",
  "pdf_url": "https://arxiv.org/pdf/2609.05653",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8j2jsf0kg91k2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.05653",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05653"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Birth and Death in Two-color ABJM",
  "title_text": "Birth and Death in Two-color ABJM",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/8j2jsf0kg91k2",
  "venue": "arXiv",
  "versions": []
}