{
  "abstract": "We study the Carroll-Weyl gauged null string in the Poincaré patch of $\\mathrm{AdS}_D$ and its BRST quantization. In Poincaré coordinates $X^A=(z,x^i)$, the radial conformal Killing vector $K=\\partial_z$ becomes homothetic in a suitable conformally related frame. A field-dependent rescaling of the homothetic Hamiltonian constraint then leads to the radial-adapted basis $\\mathcal{M}=\\frac{1}{2}(P_z^2+P_iP^i)$, $\\mathcal{L}=-P_AX'^A$, and $\\mathcal{S}=P_z$, with $\\mathcal{M}$ invariant along the Carroll-Weyl radial flow. Their modes form a $\\mathrm{BMS}_3$ algebra extended by an abelian weight-one current. We classify the central extensions allowed by this residual algebra and find four independent cohomology classes in the $LL$, $LM$, $LS$, and $SS$ channels. We then construct the associated BRST complex, including the ghost pair for the radial Carroll-Weyl constraint. In the canonical highest-weight first-order representation, only the Virasoro-type central extension is realized: $(c_{LL},c_{LM},c_{LS},c_{SS})=(2D-54,0,0,0)$. Cancellation of the corresponding nontrivial BRST cocycle therefore gives $D=27$ in this representation. This differs structurally from the minimal flat Carroll-Weyl theory, where the dilation constraint $X\\cdot P$ gives extra anomaly channels.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10717",
  "author_total": 2,
  "authors": [
    {
      "name": "Sarthak Duary"
    },
    {
      "name": "Sourav Maji"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f0g3ew73z170a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10717",
  "fulltext_url": null,
  "id": "f0g3ew73z170a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10717",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7221100425",
  "pdf_url": "https://arxiv.org/pdf/2610.10717",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f0g3ew73z170a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.10717",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10717"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Carroll-Weyl gauged null strings in AdS",
  "title_text": "Carroll-Weyl gauged null strings in AdS",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/f0g3ew73z170a",
  "venue": "arXiv",
  "versions": []
}