{
  "abstract": "Recent results in the study of gravitational scattering amplitudes indicate that some highly-symmetric relativistic systems may exactly conserve a version of the Laplace-Runge-Lenz (LRL) vector in two-body bound states. We make a systematic study, in the context of a generic EFT of long-range interactions due to the exchange of massless mediator particles of spins 0, $\\frac{1}{2}$, 1, $\\frac{3}{2}$, 2, of the conditions for the conservation of a hidden LRL vector; both classically (no orbital precession) and quantum-mechanically (hydrogen-like degeneracy of bound states). The calculations require several new technical developments including the extension of relativistic post-Minkowskian potential matching to quantum corrections and the incorporation of long-range forces due to the exchange of pairs of massless fermions. We find that while classically the absence of precession is a generic property of a large class of models, including Kaluza-Klein theories, with vector and scalar exchanges, maintaining the degeneracy quantum-mechanically requires a surprising cancellation between gravitons and 6 Majorana gravitinos, hinting at a special role for $\\mathcal{N}=6$ supergravity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29402",
  "author_total": 3,
  "authors": [
    {
      "name": "Callum R. T. Jones"
    },
    {
      "name": "Shruti Paranjape"
    },
    {
      "name": "Marcos Skowronek"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/57tawqre7rs12.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29402",
  "fulltext_url": null,
  "id": "57tawqre7rs12",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29402",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7204926715",
  "pdf_url": "https://arxiv.org/pdf/2608.29402",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/57tawqre7rs12.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2608.29402",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29402"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Bound States in Perturbative Quantum Gravity with Hydrogen-like Degeneracy",
  "title_text": "Bound States in Perturbative Quantum Gravity with Hydrogen-like Degeneracy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/57tawqre7rs12",
  "venue": "arXiv",
  "versions": []
}