{
  "abstract": "A bstract : We provide a pedagogical review of CFT techniques to compute certain Schramm-Loewner Evolution (SLE) observables in the upper half-plane. The approach relies on the ability to express the observables as bulk-boundary correlation functions that involve degenerate boundary operators and, therefore, obey certain differential equations. In particular, we recover Schramm’s left-passage probability for SLE, the SLE Green’s functions, and the generalized densities of “anchored” critical percolation clusters first obtained by Kleban, Simmons, and Ziff. We also obtain new formulas corresponding to the densities of pivotal points between critical Fortuin-Kasteleyn (FK) clusters.",
  "abstract_shown": true,
  "affiliations": [
    "New York University Abu Dhabi",
    "New York University"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Federico Camia",
      "orcid": "0000-0002-3510-8535"
    },
    {
      "affs": [
        0,
        1
      ],
      "name": "Valentino F. Foit",
      "orcid": "0000-0002-7864-7053"
    },
    {
      "affs": [
        0
      ],
      "name": "Rongvoram Nivesvivat",
      "orcid": "0000-0003-0852-6990"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c56naxg312fe1.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep10(2026)015",
  "fulltext_url": null,
  "id": "c56naxg312fe1",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/10.1007/JHEP10(2026)015",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7160532688",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP10(2026)015.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/c56naxg312fe1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "10.1007/jhep10(2026)015",
      "source": "crossref",
      "url": "https://link.springer.com/10.1007/JHEP10(2026)015"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Stochastic processes and statistical mechanics",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Anchored random clusters and SLE excursions",
  "title_text": "Anchored random clusters and SLE excursions",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:01Z",
  "url": "https://research.draconitic.com/paper/c56naxg312fe1",
  "venue": "Journal of High Energy Physics",
  "versions": []
}