{
  "id": "2206.10704",
  "version": "v1",
  "published": "2022-06-21T19:51:44.000Z",
  "updated": "2022-06-21T19:51:44.000Z",
  "title": "Dirac reductions and Classical W-algebras",
  "authors": [
    "Gahng Sahn Lee",
    "Arim Song",
    "Uhi Rinn Suh"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the first part of this paper, we generalize Dirac reduction to the extent of non-local Poisson vertex superalgebra and non-local SUSY Poisson vertex algebra cases. Next, we modify this reduction so that we explain the structures of classical W-superalgebras and SUSY classical W-algebras in terms of the modified Dirac reduction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-21T19:51:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac reduction",
      "classical w-algebras",
      "susy poisson vertex algebra cases",
      "non-local susy poisson vertex algebra",
      "non-local poisson vertex superalgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}