{
  "abstract": "We introduce Solver Agent, an AI framework based on large language models for calculations and proofs in mathematics and theoretical physics. The solution process is tracked through a persistent ledger that records assumptions, derivations, and computations. A central agent delegates tasks to specialized sub-agents, while independent agents verify both intermediate steps and the final result. This setup improves the traceability, reproducibility, and verification of computer-assisted calculations. Applying Solver Agent, we study global F-theory uplifts of Type IIB orientifolds and their S-fold generalizations. We establish sufficient conditions for Weierstrass models over projective threefolds with terminal $\\mathbb{Z}_k$ quotient singularities ($k\\in\\{2,3,4,6\\}$) to give $\\mathbb{Q}$-factorial projective elliptically fibered Calabi-Yau fourfolds with isolated Gorenstein terminal quotient singularities. These geometries realize O3-planes and S-folds, where local D3-brane probes of the latter yield four-dimensional $\\mathcal{N}=3$ superconformal field theories. Using stringy invariants, we derive fixed-point contributions to Hodge data and Euler characteristics, and show that these Euler corrections determine the localized D3-brane charges required for tadpole cancellation. We illustrate these results using toric hypersurface constructions, where a single three-dimensional polytope determines both the Type IIB Calabi-Yau threefold and the F-theory base; here, the orientifold double cover naturally forms a bisection of an alternative genus-one-fibered uplift with discrete $\\mathbb{Z}_2$ gauge symmetry. Finally, we provide methods for toric computations and four-form flux analysis in four-dimensional $\\mathcal{N}=1$ compactifications with non-abelian gauge sectors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.35958",
  "author_total": 3,
  "authors": [
    {
      "name": "Eliott Morgensztern"
    },
    {
      "name": "Cesar Fierro Cota"
    },
    {
      "name": "Alessandro Mininno"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d7662bfycyhak.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.35958",
  "fulltext_url": null,
  "id": "d7662bfycyhak",
  "issns": [],
  "landing_url": "https://hal.science/hal-05784515v1",
  "language": "en",
  "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",
      "cs.AI"
    ],
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      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AG"
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      "math.MP"
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      "1.phys.mphy"
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    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
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  ],
  "openalex": "W7214901963",
  "pdf_url": "https://arxiv.org/pdf/2609.35958",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d7662bfycyhak.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:50Z",
      "native_id": "hal-05784515",
      "source": "hal",
      "url": "https://hal.science/hal-05784515v1"
    },
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.35958",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.35958"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Solver Agent: an Agentic AI Framework for Theoretical Physics Computations Applied to F-theory Uplifts of O3-planes and S-folds",
  "title_text": "Solver Agent: an Agentic AI Framework for Theoretical Physics Computations Applied to F-theory Uplifts of O3-planes and S-folds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/d7662bfycyhak",
  "venue": "HAL",
  "versions": []
}