{
  "abstract": "We construct the Bogomol'nyi equations for Abelian gauge--Higgs vortices in which the Maxwell gauge sector is replaced by Kruglov nonlinear electrodynamics, a power-law family that interpolates between Maxwell theory, Born--Infeld electrodynamics, and exponential electrodynamics, characterized by a dimensionless exponent $σ$. Using the stressless method, we derive a pair of first-order equations directly from the vanishing of the spatial stress tensor, without assuming the Higgs potential \\textit{a priori}. For generic $σ$, the gauge and Higgs sectors are coupled through an implicit algebraic relation. We therefore introduce a constitutive map $Φ(Y;σ)$ and analyze its monotonicity and range to determine the conditions for a smooth admissible Bogomol'nyi branch. For $σ>1/2$, the constitutive map is strictly monotonic and unbounded, whereas for $0<σ<1/2$ it possesses a finite maximum; the marginal case $σ=1/2$ is bounded. These properties yield explicit bounds on the nonlinear parameter $β$ for the latter cases. We further obtain closed-form constitutive relations, BPS potentials, and gauge-field equations for six representative values of $σ$, spanning linear, quadratic, and cubic algebraic structures. The corresponding vortex profiles are then computed numerically. The resulting BPS string tension is purely topological, $μ_{\\rm BPS}=2πn$, independent of both $σ$ and $β$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08111",
  "author_total": 3,
  "authors": [
    {
      "name": "I. Prasetyo"
    },
    {
      "name": "U. Ubaydillah"
    },
    {
      "name": "H. S. Ramadhan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/96yvtvcq43v9e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08111",
  "fulltext_url": null,
  "id": "96yvtvcq43v9e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08111",
  "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"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3107|Quantum and Classical Electrodynamics"
    ]
  ],
  "openalex": "W7211988618",
  "pdf_url": "https://arxiv.org/pdf/2609.08111",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/96yvtvcq43v9e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2609.08111",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08111"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Bogomol'nyi equations for Kruglov strings",
  "title_text": "Bogomol'nyi equations for Kruglov strings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/96yvtvcq43v9e",
  "venue": "arXiv",
  "versions": []
}