{
  "abstract": "Because it offers exactly-integer topological quantities, the modified Villain discretization offers a route to correct anomaly structure at finite lattice spacing. I will present a 4-dimensional purely-bosonic modified Villain model with an ABJ-type vector-vector-axial anomaly. The model may have a direct continuous phase transition from one SSB phase to another, giving hope of yielding 4D CFT with a VVA anomaly.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17369",
  "author_total": 3,
  "authors": [
    {
      "name": "Evan Berkowitz"
    },
    {
      "name": "Shi Chen"
    },
    {
      "name": "Aleksey Cherman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bfd6pja5kqhhe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17369",
  "fulltext_url": null,
  "id": "bfd6pja5kqhhe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17369",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7213420459",
  "pdf_url": "https://arxiv.org/pdf/2609.17369",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bfd6pja5kqhhe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.17369",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17369"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "A Vector-Vector-Axial Anomaly in 4D",
  "title_text": "A Vector-Vector-Axial Anomaly in 4D",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/bfd6pja5kqhhe",
  "venue": "arXiv",
  "versions": []
}