{
  "annotation_id": "eaeb74cc-73c4-4f3d-8bdf-074466aa9cd7",
  "date_created": "2026-02-17T05:53:19.344000Z",
  "date_modified": "2026-02-17T05:53:19.344000Z",
  "file_hash": "ecf5a9a647e1f51138716e2f664d53a3fdf768679711ce350c93dd4475479e8f",
  "private": false,
  "record": {
    "abstract": "Metric-affine gravity (GL(4) gauge theory) in 4-dimensions is coupled to a spacetime Dirac source field using the isomorphisms of the Lie algebra gl(4) to the Clifford algebras Cl(3,1) and Cl(2,2). A simple transformation relates the generators of Cl(3,1) to a real representation of Cl(2,2), while the real representation of Cl(2,2) serves directly as a basis for the Lie algebra gl(4). Therefore, although GL(4) does not contain a spinor representation of the Lorentz group, expanding its Lie algebra in the Cl(2,2) basis gives a Clifford valued connection with well-defined coupling to Dirac spinors. Variation of the expansion coefficients gives new Dirac sources for both torsion and nonmetricity, separated by identifying the so(3,1) basis within the gl(4) basis.",
    "arxiv_id": "2601.09013",
    "authors": [
      "James T. Wheeler"
    ],
    "categories": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "title": "Dirac Sources for Nonmetricity and Torsion in Metric-affine Gravity",
    "url": "https://arxiv.org/abs/2601.09013",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "49bb62ac-ec86-478a-9086-29f755a6c359",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}