{
  "abstract": "We study a string-motivated class of $\\tfrac12$-BPS boundary conditions for 4d $\\mathcal N=2$ $A_{K-1}$ circular quiver gauge theories with gauge group $SU(N)^K$, engineered by D4-branes suspended between NS5-branes on a circle. For D4-branes ending on a boundary D6-brane sent to infinity, a single-pole ansatz reduces the BPS equations to a constrained algebraic problem. We characterize the structure of its solutions, which exhibit a winding phenomenon with no analogue for linear quivers, and solve several cases explicitly in closed form. A brane-duality argument suggests looking for the S-dual of the pure Neumann boundary condition within this class. We show that the residual gauge symmetry can be discrete only under a condition fixed by tracelessness, in which case it is the centre $\\mathbb Z_N$, and that solutions with this property exist for every $N$ and $K$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.03339",
  "author_total": 2,
  "authors": [
    {
      "name": "Davide Bason"
    },
    {
      "name": "Roberto Valandro"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/en2xc978xfm9v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.03339",
  "fulltext_url": null,
  "id": "en2xc978xfm9v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.03339",
  "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": "W7163323158",
  "pdf_url": "https://arxiv.org/pdf/2606.03339",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/en2xc978xfm9v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2606.03339",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.03339"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A class of half-BPS boundary conditions for $A_{K-1}$ circular quivers",
  "title_text": "A class of half-BPS boundary conditions for A_K−1 circular quivers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/en2xc978xfm9v",
  "venue": "arXiv",
  "versions": []
}