{
  "abstract": "Motivated by applications to low-dimensional worldsheet string constructions, we analyze $\\mathcal{N} = 1$ super Liouville theory on the torus. Specifically, we re-examine the recursive representations of the torus one-point super Virasoro blocks that have been constructed in the literature and correct several of their ingredients. In the process we identify a new block in the odd spin structure, associated with a privileged superdescendant whose torus one-point function transforms like that of a Virasoro primary. We then demonstrate that the structure constants for both spacelike and timelike super Liouville theory satisfy modular crossing. Furthermore, we use a bootstrap argument to construct modular crossing kernels for all four spin structure sectors, valid for central charges $c \\in \\mathbb{C}\\setminus(-\\infty,\\tfrac{3}{2}]$, and verify that they correctly implement the crossing transformations of the blocks. As a concrete application of the technology, we analyze the super Virasoro minimal string. There are four such theories, $\\mathrm{0A}^{\\pm}$ and $\\mathrm{0B}^{\\pm}$, which are distinguished by the GSO projection together with the choice of worldsheet supercharge. The resulting NS-sector sphere three-point and torus one-point amplitudes are shown to agree with topological recursion on the spectral curves of the dual matrix integrals, which were recently derived from 3d supergravity. Notably, the one-point function of the privileged superdescendant plays an essential role in the contribution of the odd spin structure to the torus amplitude via a careful treatment of the picture changing operator. We also identify an exceptional zero-momentum Ramond insertion in the $\\mathrm{0A}^{-}$ theory that we interpret geometrically as a Ramond puncture, and match its mixed sphere three-point amplitude to the corresponding intersection theory prediction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01909",
  "author_total": 5,
  "authors": [
    {
      "name": "Scott Collier"
    },
    {
      "name": "Beatrix Mühlmann"
    },
    {
      "name": "Mukund Rangamani"
    },
    {
      "name": "Ioannis Tsiares"
    },
    {
      "name": "Jianming Zheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3ajx2xxd5gsy5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01909",
  "fulltext_url": null,
  "id": "3ajx2xxd5gsy5",
  "issns": [],
  "landing_url": "https://hal.science/hal-05785898v1",
  "language": "en",
  "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"
    ],
    [
      "hal",
      "0.phys"
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    ],
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      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7216393836",
  "pdf_url": "https://arxiv.org/pdf/2610.01909",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3ajx2xxd5gsy5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:50Z",
      "native_id": "hal-05785898",
      "source": "hal",
      "url": "https://hal.science/hal-05785898v1"
    },
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2610.01909",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01909"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Super Liouville theory on the torus: bootstrap and the super Virasoro minimal string",
  "title_text": "Super Liouville theory on the torus: bootstrap and the super Virasoro minimal string",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:03Z",
  "url": "https://research.draconitic.com/paper/3ajx2xxd5gsy5",
  "venue": "HAL",
  "versions": []
}