{
  "id": "1306.6589",
  "version": "v3",
  "published": "2013-06-27T18:04:29.000Z",
  "updated": "2014-07-23T13:23:34.000Z",
  "title": "Dirac reduction for Poisson vertex algebras",
  "authors": [
    "Alberto De Sole",
    "Victor G. Kac",
    "Daniele Valeri"
  ],
  "comment": "31 pages. Corrected some typos and added missing equations in Section 8",
  "journal": "Comm. Math. Phys. 331 (2014), n. 3, 1155-1190",
  "doi": "10.1007/s00220-014-2103-0",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RA",
    "math.RT",
    "nlin.SI"
  ],
  "abstract": "We construct an analogue of Dirac's reduction for an arbitrary local or non-local Poisson bracket in the general setup of non-local Poisson vertex algebras. This leads to Dirac's reduction of an arbitrary non-local Poisson structure. We apply this construction to an example of a generalized Drinfeld-Sokolov hierarchy.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-07-23T13:23:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B69",
      "35Q53",
      "37K10",
      "37K30"
    ],
    "keywords": [
      "dirac reduction",
      "arbitrary non-local poisson structure",
      "diracs reduction",
      "non-local poisson vertex algebras",
      "non-local poisson bracket"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2014,
      "month": "Nov",
      "volume": 331,
      "number": 3,
      "pages": 1155
    },
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014CMaPh.331.1155D"
    }
  }
}