{
  "abstract": "We compute the one-loop correction to the CFT data of all double-trace operators $[ϕϕ]_{n,\\ell}$ for a $Φ^4$ theory in AdS$_3$, for arbitrary values of $n$, $\\ell$, and of the scaling dimension $Δ_ϕ>1$. Working in the spectral representation, the $t$-channel one-loop bubble diagram is reduced to a product of spectral integrals dressed by the conformal $6j$ symbol. Both the spectral integrals and the subsequent sums over residues are performed analytically, yielding finite closed-form expressions for the anomalous dimensions in terms of higher hypergeometric functions. We discuss the structure of the results, including their large-spin and high-energy behaviors, and show that the anomalous dimensions are completely monotonic in spin.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: JHEP 09 (2026) 170",
  "arxiv": "2606.06589",
  "author_total": 3,
  "authors": [
    {
      "name": "Dean Carmi"
    },
    {
      "name": "Riccardo Ciccone"
    },
    {
      "name": "Shimon Sukholuski"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/edgxnjmm7vx3d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.06589",
  "fulltext_url": null,
  "id": "edgxnjmm7vx3d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.06589",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2606.06589",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/edgxnjmm7vx3d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:53Z",
      "native_id": "2606.06589",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.06589"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Closing the loop on $Φ^4$ in AdS$_3$",
  "title_text": "Closing the loop on Φ^4 in AdS_3",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:53Z",
  "url": "https://research.draconitic.com/paper/edgxnjmm7vx3d",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/jhep09(2026)170",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}