{
  "id": "2206.14680",
  "version": "v1",
  "published": "2022-06-29T14:33:05.000Z",
  "updated": "2022-06-29T14:33:05.000Z",
  "title": "Boundary structure of gauge and matter fields coupled to gravity",
  "authors": [
    "Giovanni Canepa",
    "Alberto S. Cattaneo",
    "Filippo Fila-Robattino"
  ],
  "comment": "58 pages",
  "categories": [
    "math-ph",
    "gr-qc",
    "hep-th",
    "math.MP",
    "math.SG"
  ],
  "abstract": "The boundary structure of $3+1$-dimensional gravity (in the Palatini-Cartan formalism) coupled to to gauge (Yang-Mills) and matter (scalar and spinorial) fields is described through the use of the Kijowski-Tulczijew construction. In particular, the reduced phase space is obtained as the reduction of a symplectic space by some first class constraints and a cohomological description (BFV) of it is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-29T14:33:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "83C47",
      "83C05",
      "83C50"
    ],
    "keywords": [
      "boundary structure",
      "matter fields",
      "first class constraints",
      "dimensional gravity",
      "reduced phase space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 58,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}