{
  "abstract": "Fractional Laplacians encode anomalous scaling and covariant nonlocal response in quantum matter and holographic boundary systems. We place the corresponding scalar spectral theory on a dynamical closed worldsheet. A metric-dependent intertwiner maps the fractional quadratic form to that of $D$ free bosons, while its zeta Jacobian changes the matter determinant weight from $D$ to $sD$. The prime-determinant transformation includes the zero-mode area factor and determines both the moduli density and the Weyl coefficient $c_{\\rm det}=sD$. Weyl cancellation therefore selects $D_\\ast=26/s$. On the integer critical locus $1\\leq D\\leq26$, $N=26-D$ spectator bosons turn the residual determinant into a local critical CFT. Its fixed-area genus-$g$ vacuum measure is that of 26 free bosons, its torus trace is modular invariant, its plumbing channels are state resolved, and its BRST charge is nilpotent. The $D$ distinguished coordinates remain spectral composites; their pullback yields the Koba--Nielsen amplitudes and massless vertex conditions. Target backgrounds coupled to this distinguished sector retain the ordinary one-loop tensor beta functions, with dilaton deficit $sD-26$ and the corresponding string-frame action. Worldsheet gravity thus turns the fractional exponent into a quantum-geometric consistency parameter.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.27873",
  "author_total": 2,
  "authors": [
    {
      "name": "Tianhao Wu"
    },
    {
      "name": "Gabriele La Nave"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6pas2q7b5w8he.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27873",
  "fulltext_url": null,
  "id": "6pas2q7b5w8he",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.27873",
  "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"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7214172944",
  "pdf_url": "https://arxiv.org/pdf/2609.27873",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6pas2q7b5w8he.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2609.27873",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27873"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Spectral Fractional Bosonic Strings: Exact Polyakov Measure and the Critical Dimension",
  "title_text": "Spectral Fractional Bosonic Strings: Exact Polyakov Measure and the Critical Dimension",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/6pas2q7b5w8he",
  "venue": "arXiv",
  "versions": []
}