{
  "abstract": "We generalize the holographic entropy cone (HEC) to the holographic multi-entropy cone (HMEC) by adjoining multi-entropy coordinates to the standard bipartition entropy coordinates. We show that holographic states, through their multi-entropy vectors, form a rational polyhedral cone in multi-entropy space, and multicontraction maps provide exact certificates for holographic multi-entropy inequalities (HMEIs). We determine all facets of the $n=3,4$ HMECs, where $n$ includes the purifier, and obtain seven fundamental HMEI orbits: two for $n=3$ and five for $n=4$. We further propose two structural conjectures: HEC facet inequalities are convex combinations of HMEC facet inequalities, and HMEC facets obey a balanced-but-not-too-balanced principle.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: JHEP 09 (2026) 253",
  "arxiv": "2606.15173",
  "author_total": 2,
  "authors": [
    {
      "name": "Xin-Xiang Ju"
    },
    {
      "name": "Yang Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/07skqedthvv8y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.15173",
  "fulltext_url": null,
  "id": "07skqedthvv8y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.15173",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2606.15173",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/07skqedthvv8y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2606.15173",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.15173"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "The Holographic Multi-Entropy Cone",
  "title_text": "The Holographic Multi-Entropy Cone",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:52Z",
  "url": "https://research.draconitic.com/paper/07skqedthvv8y",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/jhep09(2026)253",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}