{
  "id": "hep-th/0307007",
  "version": "v3",
  "published": "2003-07-01T09:45:55.000Z",
  "updated": "2003-12-16T08:49:23.000Z",
  "title": "Effective Actions of Matrix Models on Homogeneous Spaces",
  "authors": [
    "T. Imai",
    "Y. Kitazawa",
    "Y. Takayama",
    "D. Tomino"
  ],
  "comment": "28 pages, 1 figure, published version in Nucl. Phys. B",
  "journal": "Nucl.Phys.B679:143-167,2004",
  "doi": "10.1016/j.nuclphysb.2003.11.038",
  "categories": [
    "hep-th"
  ],
  "abstract": "We evaluate the effective actions of supersymmetric matrix models on fuzzy S^2\\times S^2 up to the two loop level. Remarkably it turns out to be a consistent solution of IIB matrix model. Based on the power counting and SUSY cancellation arguments, we can identify the 't Hooft coupling and large N scaling behavior of the effective actions to all orders. In the large N limit, the quantum corrections survive except in 2 dimensional limits. They are O(N) and O(N^{4\\over 3}) for 4 and 6 dimensional spaces respectively. We argue that quantum effects single out 4 dimensionality among fuzzy homogeneous spaces.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-12-16T08:49:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.30.Pb",
      "11.25.Pm",
      "11.25.Sq",
      "11.10.Wx"
    ],
    "keywords": [
      "effective actions",
      "iib matrix model",
      "susy cancellation arguments",
      "supersymmetric matrix models",
      "quantum effects single"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 622446
    }
  }
}