{
  "abstract": "We present a systematic procedure for constructing brane brick models corresponding to abelian orbifolds of toric Calabi-Yau 4-folds, extending the orbifold construction beyond the well-studied case of abelian orbifolds of C^4. Given a parent brane brick model corresponding to a toric Calabi-Yau 4-fold M, we show that the action of an abelian orbifold group Gamma on the generators of M induces an action on the chiral and Fermi fields as well as the J- and E-terms of the associated 2d (0,2) supersymmetric gauge theory. The requirement that the orbifolded brane brick model remains consistent with the closed paths associated with the J- and E-terms, together with the chiral cycles formed by their products, precisely reproduces the Calabi-Yau condition on the orbifold action. This procedure yields an explicit formula for the J- and E-terms of the orbifolded brane brick model in terms of those of the parent theory. We apply our construction to the brane brick models corresponding to Q^{1,1,1} and D_3, and present the resulting families of 2d (0,2) quiver gauge theories. We also present explicit expressions for generating functions that count distinct abelian orbifolds of Q^{1,1,1} and D_3.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: JHEP 2609:193,2026",
  "arxiv": "2606.28110",
  "author_total": 2,
  "authors": [
    {
      "name": "Juno Kwon"
    },
    {
      "name": "Rak-Kyeong Seong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2t96qjan0q7er.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.28110",
  "fulltext_url": null,
  "id": "2t96qjan0q7er",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.28110",
  "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"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.28110",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2t96qjan0q7er.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:22Z",
      "native_id": "2606.28110",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.28110"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Abelian Orbifolds for Brane Brick Models",
  "title_text": "Abelian Orbifolds for Brane Brick Models",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/2t96qjan0q7er",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/jhep09(2026)193",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}