{
  "annotation_id": "77b5f6a5-4775-4479-95b4-d20a0f025f1e",
  "date_created": "2026-02-17T05:53:24.225000Z",
  "date_modified": "2026-02-17T05:53:24.225000Z",
  "file_hash": "7fdb5aa521c944523ac5738ce0ed5bc701257c58d2b661392d97088be7c7d586",
  "private": false,
  "record": {
    "abstract": "There exist conformally invariant, higher-derivative, variational analogs of the Yang-Mills condition for connections on vector bundles over a conformal manifold of even dimension greater than or equal to six. We give a compact formula for these analogs and prove that they are a strict weakening of the Yang-Mills condition with respect to an Einstein metric. We also show that the conformal Yang-Mills condition for the tractor connection of an even dimensional conformal manifold is equivalent to vanishing of its Fefferman-Graham obstruction tensor. This result uses that the tractor connection on a Poincar\\\u0027e-Einstein manifold is itself Yang-Mills.",
    "arxiv_id": "2601.09975",
    "authors": [
      "Samuel Blitz",
      "A. Rod Gover",
      "Jaros\u0142aw Kopi\u0144ski",
      "Andrew Waldron"
    ],
    "categories": [
      "math.DG",
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Einstein and Yang-Mills implies conformal Yang-Mills",
    "url": "https://arxiv.org/abs/2601.09975",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a2fb86b8-7060-42c2-8ff5-5c2595dcf0c9",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}