{
  "abstract": "We construct boundary Liouville conformal field theory at central charge $c\\leq1$ with FZZT-type boundary conditions and show that it satisfies the Cardy--Lewellen sewing constraints on the disk and the annulus. Using the analytic bootstrap we derive the so far missing boundary three-point and bulk-to-boundary structure constants and a consistent disk one-point function as explicit meromorphic functions of the Liouville momenta. In sharp contrast to $c\\geq25$, the open-string spectrum between two ``timelike'' FZZT boundaries is \\emph{discrete}, yet non-trivially consistent through open-closed duality with the \\emph{continuous} closed-string spectrum of Ribault and Santachiara.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05378",
  "author_total": 4,
  "authors": [
    {
      "name": "Panos Betzios"
    },
    {
      "name": "Paul Ghiringhelli"
    },
    {
      "name": "Olga Papadoulaki"
    },
    {
      "name": "Ioannis Tsiares"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/858kz5e404hb2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05378",
  "fulltext_url": null,
  "id": "858kz5e404hb2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05378",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05378",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/858kz5e404hb2.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.05378",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05378"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Boundary $c\\leq1$ Liouville CFT from the Bootstrap",
  "title_text": "Boundary c≤1 Liouville CFT from the Bootstrap",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/858kz5e404hb2",
  "venue": "arXiv",
  "versions": []
}