{
  "abstract": "We point out a puzzle about BPS black holes in AdS$_4\\times S^7/\\mathbb{Z}_k$: the entropy grows when $k$ increases although the number of gauge-invariant operators in the dual conformal field theory that can contribute to the entropy grows as $k$ decreases, due to the presence of monopole operators. Analyzing the superconformal index of ABJM, we show that the same puzzle exists for finite $N$ in the large charge limit. We propose a resolution based on an increasing number of trace relations as $k$ decreases, which dominates over the other effect. We argue that this mostly affects fortuitous operators and we provide an explicit example of a fortuitous operator that disappears at small $k$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07135",
  "author_total": 5,
  "authors": [
    {
      "name": "Alexandre Belin"
    },
    {
      "name": "Seyed Morteza Hosseini"
    },
    {
      "name": "Palash Singh"
    },
    {
      "name": "Rita Vadala"
    },
    {
      "name": "Alberto Zaffaroni"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b2j4h14cmywcg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07135",
  "fulltext_url": null,
  "id": "b2j4h14cmywcg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07135",
  "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/2610.07135",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b2j4h14cmywcg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.07135",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07135"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A New Entropy Puzzle in ABJM",
  "title_text": "A New Entropy Puzzle in ABJM",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/b2j4h14cmywcg",
  "venue": "arXiv",
  "versions": []
}