{
  "abstract": "We study non-minuscule boundary 't Hooft lines in four-dimensional $\\mathcal N=4$ $U(N)$ super Yang--Mills theory with the regular Nahm-pole boundary condition. For one-row charges we construct the exact spherical-DAHA operator $\\mathbf e_+h_r(Y)\\mathbf e_+$, determine its finite shift expansion and discrete Macdonald spectrum, and evaluate the S-dual Neumann Wilson two-line index as a finite-$N$ Macdonald pairing. For the first non-minuscule $U(2)$ coefficient, a local two-minuscule convolution model with Higgs branch $T^*\\mathbb P^1$ has two Jeffrey--Kirwan residues, while subtracting the determinant intersection-cohomology summand supplies the additional $-\\mathfrak t$ term. The same transverse $A_1$ calculation, dressed by the spectator-root factor, reproduces the first lower $U(3)$ coefficient. The local convolution calculation and its spectator lift provide low-rank checks of the complete DAHA coefficients independent of the inverse recursion, while their boundary-localization interpretation remains conjectural. Assuming an isometric oriented boundary Fourier intertwiner, the DAHA construction is compatible with the expected boundary S-duality relation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.16660",
  "author_total": 1,
  "authors": [
    {
      "name": "Ruiliang Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/byxrej2d3cewq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.16660",
  "fulltext_url": null,
  "id": "byxrej2d3cewq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.16660",
  "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.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7164915883",
  "pdf_url": "https://arxiv.org/pdf/2606.16660",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/byxrej2d3cewq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2606.16660",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.16660"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Spherical-DAHA predictions for boundary monopole bubbling of non-minuscule 't Hooft lines in $\\mathcal N=4$ SYM",
  "title_text": "Spherical-DAHA predictions for boundary monopole bubbling of non-minuscule 't Hooft lines in 𝒩=4 SYM",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/byxrej2d3cewq",
  "venue": "arXiv",
  "versions": []
}