{
  "abstract": "Following approach of Iorgov--Lisovyy--Teschner, we construct solutions of the (modified) Riemann--Hilbert problem using conformal blocks of $(1,k)$ Virasoro models. For $k>1$ case, the solution of this Riemann--Hilbert problem is not unique due to more singular behavior at punctures. On the CFT side the dimension of the space of conformal blocks also increases. We specifically study the $k=2$ case, which corresponds to the central charge $c=-2$ and symplectic fermions. We explicitly construct a corresponding solution of the modified Riemann--Hilbert problem in the case of 3 punctures and prove its uniqueness under suitable initial data conditions. We also obtain new bilinear relations for $c=-2$ tau functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.18120",
  "author_total": 3,
  "authors": [
    {
      "name": "Mikhail Bershtein"
    },
    {
      "name": "Andrei Grigorev"
    },
    {
      "name": "Anton Shchechkin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aqfr4ggch9474.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.18120",
  "fulltext_url": null,
  "id": "aqfr4ggch9474",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.18120",
  "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",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7169844892",
  "pdf_url": "https://arxiv.org/pdf/2607.18120",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aqfr4ggch9474.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2607.18120",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.18120"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "(1,k) CFT and RH problem with the c=-2 case",
  "title_text": "(1,k) CFT and RH problem with the c=-2 case",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/aqfr4ggch9474",
  "venue": "arXiv",
  "versions": []
}