{
  "id": "2301.00029",
  "version": "v1",
  "published": "2022-12-31T19:33:54.000Z",
  "updated": "2022-12-31T19:33:54.000Z",
  "title": "Generalized conformal maps as classical symmetries of Yang-Mills fields",
  "authors": [
    "Edward B. Baker III"
  ],
  "comment": "9 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We show that a class of previously defined maps, called self-dual and causal morphisms, form classical symmetries of Yang-Mills fields in four complex dimensions. These maps generalize conformal transformations, and admit a nonlocal pullback connection that preserves the equations of the theory. First it is shown that self-dual morphisms form symmetries of the anti-self-dual Yang-Mills equations under this pullback. Then a supersymmetric generalization of causal morphisms is defined, which preserves solutions of the field equations for N=3 supersymmetric Yang-Mills theory. As a special case, this implies that a modified definition of causal morphisms form symmetries for the ordinary Yang-Mills field equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-31T19:33:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized conformal maps",
      "classical symmetries",
      "ordinary yang-mills field equations",
      "self-dual morphisms form symmetries",
      "causal morphisms form symmetries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}