{
  "abstract": "The ${\\cal M}$-theory dual of thermal QCD-like theories constructed in arXiv:1306.4339, 2004.07259 involves, as shown in arXiv:2211.13186, a closed $G_2$-structure seven-fold $\\mathcal{M}_7$ supporting Contact 3-Structures (C3S) that induce a ``transverse'' $SU(3)$-structure. We prove that this induced structure belongs to the symplectic nearly half-flat (S(nearly)HF) class: $dω_Φ=0$ exactly, while $dΩ_+$ is suppressed as $\\mathcal{O}(e^{-N^{1/3}/\\mathcal{O}(1)})$ in the infrared \"MQGP limit\", leaving $W_Φ^{SU(3)}=W_2^-$ as the sole non-vanishing Chiossi--Salamon torsion class and completing the $G$-structure classification of the MQGP dual initiated in arXiv:1507.02692,2004.07259, 2211.13186. As a physical application, Kaluza--Klein reduction of the eleven-dimensional Hodge dual of the differential of the $G_2$-structure positive three-form on $\\mathcal{M}_7$, organised through the $G_2$/S(nearly)HF torsion data, yields a radial ``magnetic field'' $\\mathcal{B}_{\\rm KK}(r)$ whose squared norm factorises exactly into external and internal factors. $\\mathcal{B}_{\\rm KK}(r)$ satisfies a Bessel-type ODE with a regular singular point at the horizon; normalisability and infrared regularity select $J_2$, with harmonicity of the aforementioned internal factor recovered from the large-$N$ suppression. $\\mathcal{B}_{\\rm KK}$ is related to the magnetic field of the type~IIA flavour $D6$-branes via a non-linear power law, furnishing a top-down holographic mechanism for generating weak magnetic fields in finite-temperature string theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.26267",
  "author_total": 1,
  "authors": [
    {
      "name": "Aalok Misra"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4dxa5gknm9f5q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.26267",
  "fulltext_url": null,
  "id": "4dxa5gknm9f5q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.26267",
  "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.DG"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7204565246",
  "pdf_url": "https://arxiv.org/pdf/2608.26267",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4dxa5gknm9f5q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2608.26267",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.26267"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Contact Structure-induced Symplectic Nearly Half-Flat $SU(3)$ Structure in Finite-$N$ Thermal ${\\cal M}$-Theory",
  "title_text": "Contact Structure-induced Symplectic Nearly Half-Flat SU(3) Structure in Finite-N Thermal cal M-Theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/4dxa5gknm9f5q",
  "venue": "arXiv",
  "versions": []
}