{
  "id": "hep-th/9811191",
  "version": "v2",
  "published": "1998-11-20T22:05:08.000Z",
  "updated": "2000-05-19T16:03:23.000Z",
  "title": "BRST Cohomology of N=2 Super-Yang-Mills Theory in 4D",
  "authors": [
    "A. Tanzini",
    "O. S. Ventura",
    "L. C. Q. Vilar",
    "S. P. Sorella"
  ],
  "comment": "22 pages, LaTeX, final version to appear in Journ. Phys. G",
  "journal": "J.Phys.G26:1117-1130,2000",
  "doi": "10.1088/0954-3899/26/8/302",
  "categories": [
    "hep-th"
  ],
  "abstract": "The BRST cohomology of the N=2 supersymmetric Yang-Mills theory in four dimensions is discussed by making use of the twisted version of the N=2 algebra. By the introduction of a set of suitable constant ghosts associated to the generators of N=2, the quantization of the model can be done by taking into account both gauge invariance and supersymmetry. In particular, we show how the twisted N=2 algebra can be used to obtain in a straightforward way the relevant cohomology classes. Moreover, we shall be able to establish a very useful relationship between the local gauge invariant polynomial $tr\\phi^2$ and the complete N=2 Yang-Mills action. This important relation can be considered as the first step towards a fully algebraic proof of the one-loop exactness of the N=2 beta function.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-05-19T16:03:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brst cohomology",
      "super-yang-mills theory",
      "local gauge invariant polynomial",
      "supersymmetric yang-mills theory",
      "relevant cohomology classes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 479726
    }
  }
}