{
  "abstract": "We solve large-$N$ two-dimensional QCD with fundamental quarks---the 't Hooft model---on rigid AdS$_2$ and dS$_2$. Their isometries preserve the null gauge $A_-=0$ and in affine coordinates the curvature enters the light-front Hamiltonian only through the special-conformal generator of the null line. The $SL(2,\\mathbb{R)}$ Casimir then results in an exact meson equation: 't Hooft's equation plus a Legendre operator whose sign is determined by the curvature. On AdS$_2$ it is related to equations proposed in the context of folded/segmented strings and light-front holography. The pion is massless in the chiral limit and obeys a Gell-Mann--Oakes--Renner relation that fixes the chiral condensate, the dimensions cross over from Regge to logarithmic growth once the flux tube exceeds the curvature radius, and the flat-space integrable structure survives. We also solve the problem of a quark interacting with an antiquark placed at the boundary: beyond a critical coupling the string pulls it back to the boundary, resulting in a scattering phase. On dS$_2$ and due to the expansion of space, the mesons are unstable resonances even at $N=\\infty$ and eventually dissociate. Their widths are given by Boltzmann factors at the de Sitter temperature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37667",
  "author_total": 1,
  "authors": [
    {
      "name": "Panos Betzios"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8drwc83mgwh3z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37667",
  "fulltext_url": null,
  "id": "8drwc83mgwh3z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37667",
  "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",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7224126536",
  "pdf_url": "https://arxiv.org/pdf/2610.37667",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8drwc83mgwh3z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.37667",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37667"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "The 't Hooft model on (A)dS$_2$",
  "title_text": "The 't Hooft model on (A)dS_2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/8drwc83mgwh3z",
  "venue": "arXiv",
  "versions": []
}