{
  "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 $\\sqrt{T\\bar T}$ 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": [],
  "article_type": "Journal reference: SciPost Phys. 21, 092 (2026)",
  "arxiv": "2607.06867",
  "author_total": 4,
  "authors": [
    {
      "name": "Hamed Adami"
    },
    {
      "name": "Kristiansen Lara"
    },
    {
      "name": "Anouchah Latifi"
    },
    {
      "name": "René Meyer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cr6qncyryj38k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.06867",
  "fulltext_url": null,
  "id": "cr6qncyryj38k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.06867",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.06867",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cr6qncyryj38k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2607.06867",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.06867"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "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": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/cr6qncyryj38k",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.21468/scipostphys.21.4.092",
      "pid": "0j7e61rv78hww",
      "relation": "published-as",
      "title": "On integrable structures on non–compact boundaries in three–dimensional gravity",
      "venue": "SciPost Physics"
    }
  ]
}