{
  "abstract": "We study three-dimensional Einstein gravity with negative cosmological constant on non-compact spatial boundaries within the Chern-Simons formulation. Using an exact fluid/gravity correspondence, we derive a closed radial flow equation for the quasi-local stress tensor and show that it realizes the holographic \\sqrt{T\\bar T} T T ‾ deformation at finite cutoff. We further develop the inverse-scattering description of the boundary dynamics, identifying the gravitational interpretation of the associated spectral data and analyzing the finite-cutoff deformation of soliton solutions. Although the boundary evolution is governed by an integrable bi-Hamiltonian hierarchy, we show that the radial flow itself is not Hamiltonian with respect to the canonical Poisson structure. Our results establish a unified framework connecting integrability, quasi-local gravitational observables, inverse scattering, and finite-cutoff holography on non-compact boundaries.",
  "abstract_shown": true,
  "affiliations": [
    "Fudan University",
    "Shanghai Institute for Mathematics and Interdisciplinary Sciences",
    "Center for Scientific Studies",
    "San Sebastián University",
    "Qom University of Technology",
    "University of Würzburg",
    "Würzburg-Dresden Cluster of Excellence"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Hamed Adami",
      "orcid": "0000-0002-9984-7257"
    },
    {
      "affs": [
        2,
        3
      ],
      "name": "Kristiansen Lara"
    },
    {
      "affs": [
        4
      ],
      "name": "Anouchah Latifi"
    },
    {
      "affs": [
        1,
        5,
        6
      ],
      "name": "René Meyer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0j7e61rv78hww.bib",
  "cited_by": 0,
  "doi": "10.21468/scipostphys.21.4.092",
  "fulltext_url": null,
  "id": "0j7e61rv78hww",
  "issns": [
    "2542-4653"
  ],
  "landing_url": "https://scipost.org/10.21468/SciPostPhys.21.4.092",
  "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",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7167812510",
  "pdf_url": "https://scipost.org/10.21468/SciPostPhys.21.4.092/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": "Stichting SciPost",
  "ris": "https://research.draconitic.com/paper/0j7e61rv78hww.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:57Z",
      "native_id": "10.21468/scipostphys.21.4.092",
      "source": "crossref",
      "url": "https://scipost.org/10.21468/SciPostPhys.21.4.092"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3106|Black Holes and Theoretical Physics",
      "subfield": "high-energy"
    }
  ],
  "title": "On integrable structures on non–compact boundaries in three–dimensional gravity",
  "title_text": "On integrable structures on non–compact boundaries in three–dimensional gravity",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:57Z",
  "url": "https://research.draconitic.com/paper/0j7e61rv78hww",
  "venue": "SciPost Physics",
  "versions": [
    {
      "doi": "10.48550/arxiv.2607.06867",
      "pid": "cr6qncyryj38k",
      "relation": "preprint",
      "title": "On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity",
      "venue": "arXiv"
    }
  ]
}