{
  "abstract": "In precision holography, the Euclidean on-shell action of type IIB supergravity often fails to reproduce the leading large-$N$ free energy of the dual field theory: the type IIB pseudo action, for instance, vanishes identically on the $\\mathrm{EAdS}_5\\times S^5$ background. We address this issue by revisiting the boundary-value problem of the Euclidean type IIB pseudo action from first principles. Classifying the admissible boundary conditions through the variational principle, we construct a generalized pseudo action whose boundary terms implement the choice of ensemble --- fixed potentials versus fixed quantized Page charges --- in which the holographic comparison is performed. For the fixed five-form-charge ensemble, the resulting boundary term reproduces the recently proposed topological correction to the Pasti--Sorokin--Tonin formulation of type IIB supergravity for holographic backgrounds of interest. We then test the generalized pseudo action on two complementary backgrounds: the $\\mathrm{EAdS}_3\\times S^3\\times M_4$ near-horizon geometry of the D1-D5 system and the warped $\\mathrm{EAdS}_6\\times S^2\\timesΣ$ solutions dual to five-dimensional SCFTs. In both cases the ten-dimensional on-shell action agrees exactly with that of the corresponding lower-dimensional supergravity, and thereby with the leading large-$N$ free energy of the dual SCFT. Our results establish the choice of boundary conditions --- and hence of ensemble --- as an essential ingredient of precision holography directly in type IIB supergravity, extending recent analyses in eleven-dimensional supergravity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03126",
  "author_total": 5,
  "authors": [
    {
      "name": "Soumya Adhikari"
    },
    {
      "name": "Junho Hong"
    },
    {
      "name": "Chanyoung Joung"
    },
    {
      "name": "Geum Lee"
    },
    {
      "name": "Sourav Roychowdhury"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/27tr6kyjbh7cy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03126",
  "fulltext_url": null,
  "id": "27tr6kyjbh7cy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03126",
  "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": "W7208838805",
  "pdf_url": "https://arxiv.org/pdf/2609.03126",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/27tr6kyjbh7cy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.03126",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03126"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Boundary-Value Problem in Type IIB Supergravity and Holography",
  "title_text": "Boundary-Value Problem in Type IIB Supergravity and Holography",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/27tr6kyjbh7cy",
  "venue": "arXiv",
  "versions": []
}