{
  "id": "0807.1349",
  "version": "v3",
  "published": "2008-07-09T19:59:25.000Z",
  "updated": "2010-03-31T02:24:44.000Z",
  "title": "Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories",
  "authors": [
    "Nakwoo Kim"
  ],
  "comment": "20 pages; v3. major revision, title and abstract changed. to appear in Phys.Rev.D",
  "journal": "Phys.Rev.D81:086006,2010",
  "doi": "10.1103/PhysRevD.81.086006",
  "categories": [
    "hep-th"
  ],
  "abstract": "We consider how to take an orbifold reduction for the multiple M2-brane theory recently proposed by Bagger and Lambert, and discuss its relation to Chern-Simons theories. Starting from the infinite dimensional 3-algebra realized as the Nambu bracket on a 3-torus, we first suggest an orbifolding prescription for various fields. Then we introduce a second truncation, which effectively reduces the internal space to a 2-torus. Eventually one obtains a large-N limit of Chern-Simons gauge theories coupled to matter fields. We consider an abelian orbifold C^4/Z_n, and illustrate how one can arrive at the N=6 supersymmetric theories with gauge groups U(N) x U(N) and Chern-Simons levels (k,-k), as recently constructed by Aharony, Bergman, Jafferis and Maldacena.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-03-31T02:24:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.25.-w",
      "11.25.Yb",
      "11.10.Kk"
    ],
    "keywords": [
      "chern-simons-matter theories",
      "bagger-lambert theory",
      "multiple m2-brane theory",
      "orbifold reduction",
      "chern-simons theories"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2010,
      "month": "Apr",
      "volume": 81,
      "number": 8,
      "pages": "086006"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 790288,
      "adsabs": "2010PhRvD..81h6006K"
    }
  }
}