{
  "abstract": "We consider a dual version of heterotic Kodaira-Spencer theory on a Calabi-Yau three-fold $X$ with background fluxes, related to the type I BCOV theory of Costello-Li. We implement the Green-Schwarz mechanism of Costello-Li, where the Beltrami differential plays the role of the Green-Schwarz field. On a compact Calabi-Yau three-fold with background gauge fluxes $F$, where $\\mathrm{tr}(F^2)$ is trivial in cohomology, retaining gauge anomalies only and leaving gravitational anomalies to future work, we incorporate the Costello-Li Green-Schwarz mechanism into the classical deformation complex. This gives a theory governed by a nilpotent operator $\\bar D$ on $Q=T^{1,0}X\\oplus\\operatorname{End}(V)\\oplus T^{*1,0}X$, whose extension maps carry holomorphic derivatives, so that $(Q,\\bar D)$ is not a holomorphic bundle. Using diagonal $\\bar\\partial^\\dagger$-gauge, the one-loop gauge anomaly cancels, assuming that the extension maps of $\\bar D$ do not modify it, which we argue is plausible. Introducing an auxiliary $(0,2)$-form, we construct a cubic interacting theory whose gauge symmetries are governed by an $L_3$ algebra. On compact Calabi-Yau three-folds, and for sufficiently small fields, we show that the equation of motion is equivalent to the Maurer-Cartan equation, together with a divergence-free constraint on the Beltrami differential. Finally we trivialise $\\bar D$ locally to the Dolbeault operator. The (non-tensorial) transition maps glue into a quasi-holomorphic extension sheaf $\\widetilde{\\mathscr{Q}}$, for which we prove a Dolbeault theorem, $H^{0,q}_{\\bar D}(Q)\\cong\\check H^q(\\widetilde{\\mathscr{Q}})$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07178",
  "author_total": 3,
  "authors": [
    {
      "name": "Siddhartha Mangamuri"
    },
    {
      "name": "Eirik Eik Svanes"
    },
    {
      "name": "Anuthi Tiwary"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/044b429eyaweb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07178",
  "fulltext_url": null,
  "id": "044b429eyaweb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07178",
  "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.DG"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07178",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/044b429eyaweb.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.07178",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07178"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "On a Dual Heterotic Kodaira-Spencer Theory",
  "title_text": "On a Dual Heterotic Kodaira-Spencer Theory",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:47Z",
  "url": "https://research.draconitic.com/paper/044b429eyaweb",
  "venue": "arXiv",
  "versions": []
}