{
  "abstract": "We show that the equations of motion for magnetically charged $p$-branes in $(n+p+2)$-dimensional AdS reduce to coupled one-dimensional Toda-type equations, and use this structure to construct static toroidal black branes with $T^n$ symmetry and $p$ translation-invariant directions. In the pure-Maxwell case we obtain an exact $\\sinh$ solution--a $(p+2)$-dimensional black brane times an $n$-torus, asymptotically $\\mathrm{AdS}_{p+2}\\times T^n$--whose dilatonic analogue, with a scalar coupled through $e^{aϕ}$, has a running torus modulus and a non-trivial dilaton. A perturbative expansion reduces the linearized system to a pair of Pöschl-Teller equations, one elementary and one solved by associated Legendre functions of non-integer degree, so that the general solution is non-elementary; at weak coupling $ε=a^2$ we construct the $O(a^2)$ backreaction explicitly. From the surface gravity, horizon area, and holographic renormalization we obtain the Hawking temperature, entropy density, and mass density, verifying the first law $d\\mathcal{M}=T_H\\,ds$ and the traceless conformal stress tensor of the dual $(p+1)$-dimensional theory. At $O(a^2)$ the first law persists, but the dilaton source shifts the Stefan-Boltzmann exponent to $p_{\\rm eff}=p+a^2/2$, breaking the clean power law $s\\propto T_H^p$ while the normalizable dilaton hair decouples from the entropy.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23079",
  "author_total": 1,
  "authors": [
    {
      "name": "Sangheon Yun"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bwc2ay5agte3x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23079",
  "fulltext_url": null,
  "id": "bwc2ay5agte3x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23079",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7214010320",
  "pdf_url": "https://arxiv.org/pdf/2609.23079",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bwc2ay5agte3x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.23079",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23079"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Toroidal Charged AdS Branes and Deformed Toda Equations",
  "title_text": "Toroidal Charged AdS Branes and Deformed Toda Equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/bwc2ay5agte3x",
  "venue": "arXiv",
  "versions": []
}