{
  "id": "hep-th/9110013",
  "version": "v2",
  "published": "1991-10-04T08:26:36.000Z",
  "updated": "1991-10-25T00:37:51.000Z",
  "title": "Brst Cohomology and Physical States in 2D Supergravity Coupled to ${\\hat c} \\leq 1$ Matter",
  "authors": [
    "Katsumi Itoh",
    "Nobuyoshi Ohta"
  ],
  "comment": "34 pages",
  "journal": "Nucl.Phys. B377 (1992) 113-142",
  "doi": "10.1016/0550-3213(92)90019-8",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study the BRST cohomology for two-dimensional supergravity coupled to $\\hat c \\leq 1$ superconformal matter in the conformal gauge. The super-Liouville and superconformal matters are represented by free scalar fields $\\phi^L$ and $\\phi^M$ and fermions $\\psi^L$ and $\\psi^M$, respectively, with suitable background charges, and these are coupled in such a way that the BRST charge is nilpotent. The physical states of the full theory are determined for NS and R sectors. It is shown that there are extra states with ghost number $N_{FP}=0,\\pm 1$ for discrete momenta other than the degree of freedom corresponding to the ``center of mass\", and that these are closely related to the ``null states\" in the minimal models with $\\hat c<1$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1991-10-25T00:37:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brst cohomology",
      "2d supergravity",
      "physical states",
      "superconformal matter",
      "free scalar fields"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 318623
    }
  }
}