{
  "abstract": "Kormos, Runkel, and Watts (KRW) showed that a topological defect of a diagonal minimal model $M(p,p+1)$, perturbed by a weakly relevant defect field, flows to a new conformal interface. We study the flow of the $(2,1)$ Verlinde defect $D_{(2,1)}$ driven by the spinful defect field $ϕ_{(1,3)}\\otimes\\barϕ_{(3,3)}$ on the lattice. The flow preserves the $(r,1)$ Verlinde lines. This preserved symmetry makes a dilute RSOS realisation possible. We study this flow numerically using both exact diagonalization and density matrix renormalization group (DMRG). At $p=4$, the flow ends on the invertible line $η=D_{(3,1)}$. At $p=5$ it ends on a non-trivial conformal interface $C_5$ with $g=1.503(2)$ and transmission coefficient $T=0.665(10)$. We report its spectrum, leading irrelevant dimension, and lattice $β$-function. Gauging $η$ maps $C_5$ to an interface of the three-state Potts model, which breaks $\\mathbb{Z}_3$ but is a stable interface once the Fibonacci line $τ_{\\mathrm{Fib}}$ and charge conjugation are imposed. A loop-model formulation allows us to follow the family $C_p$ at continuous $4\\le p\\le5$: it moves smoothly from $C_5$ to $η$ as we lower $p$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03824",
  "author_total": 1,
  "authors": [
    {
      "name": "Junchen Rong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5dpbkn6kpav9d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03824",
  "fulltext_url": null,
  "id": "5dpbkn6kpav9d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03824",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03824",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5dpbkn6kpav9d.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.03824",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03824"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A lattice construction of the Kormos-Runkel-Watts defect flows in minimal models",
  "title_text": "A lattice construction of the Kormos-Runkel-Watts defect flows in minimal models",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/5dpbkn6kpav9d",
  "venue": "arXiv",
  "versions": []
}