{
  "abstract": "We study wavefunctions of quantum gravity in asymptotically AdS$_3$ spacetimes and their relation to $T\\bar{T}$-deformed torus partition functions. We show that the deformed partition function is given by an invertible integral transform of bulk wavefunctions, which implements a change of representation from the York time to its conjugate, the spatial volume. The invertibility of the transform allows the bulk wavefunction to be reconstructed from the family of $T\\bar{T}$-deformed partition functions. A $T\\bar{T}$-deformed partition function at fixed coupling is the amplitude of the bulk state in a finite-width, fixed-volume wavepacket localized at the asymptotic boundary in York time. In the CFT limit, the wavepacket localizes at the boundary, recovering the standard holographic relation. The holographic screen of a given state is the support of the integrand of the transform: at large central charge, it separates from the wavepacket and reproduces finite-cutoff holography for the sign of the coupling with complex energies, and glue-on holography for the opposite sign. In Euclidean signature, the construction arises naturally from wavefunctions of Rindler AdS$_3$, while after a double Wick rotation it admits a Lorentzian interpretation in terms of closed AdS$_3$ torus universes without asymptotic boundaries. We also discuss de Sitter torus universes and generalizations to other spatial topologies and higher dimensions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.04665",
  "author_total": 1,
  "authors": [
    {
      "name": "Shinji Hirano"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dytbe7j4580x6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.04665",
  "fulltext_url": null,
  "id": "dytbe7j4580x6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.04665",
  "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"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7197026868",
  "pdf_url": "https://arxiv.org/pdf/2608.04665",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dytbe7j4580x6.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2608.04665",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.04665"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Wavefunctions of AdS$_3$ Universes and $T\\bar{T}$-deformed Torus Partition Functions",
  "title_text": "Wavefunctions of AdS_3 Universes and TT̅-deformed Torus Partition Functions",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:50Z",
  "url": "https://research.draconitic.com/paper/dytbe7j4580x6",
  "venue": "arXiv",
  "versions": []
}