{
  "id": "0704.0929",
  "version": "v3",
  "published": "2007-04-09T19:54:16.000Z",
  "updated": "2009-08-03T02:53:10.000Z",
  "title": "Noncommutative Electromagnetism As A Large N Gauge Theory",
  "authors": [
    "Hyun Seok Yang"
  ],
  "comment": "25 pages; More clarifications, to appear in Eur. Phys. J. C",
  "journal": "Eur.Phys.J.C64:445-457,2009",
  "doi": "10.1140/epjc/s10052-009-1117-9",
  "categories": [
    "hep-th",
    "gr-qc",
    "hep-ph"
  ],
  "abstract": "We map noncommutative (NC) U(1) gauge theory on R^d_C X R^{2n}_{NC} to U(N -> \\infty) Yang-Mills theory on R^d_C, where R^d_C is a d-dimensional commutative spacetime while R^{2n}_{NC} is a 2n-dimensional NC space. The resulting U(N) Yang-Mills theory on R^d_C is equivalent to that obtained by the dimensional reduction of (d+2n)-dimensional U(N) Yang-Mills theory onto R^d_C. We show that the gauge-Higgs system (A_\\mu,\\Phi^a) in the U(N -> \\infty) Yang-Mills theory on R^d_C leads to an emergent geometry in the (d+2n)-dimensional spacetime whose metric was determined by Ward a long time ago. In particular, the 10-dimensional gravity for d=4 and n=3 corresponds to the emergent geometry arising from the 4-dimensional N=4 vector multiplet in the AdS/CFT duality. We further elucidate the emergent gravity by showing that the gauge-Higgs system (A_\\mu,\\Phi^a) in half-BPS configurations describes self-dual Einstein gravity.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-08-03T02:53:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.40.Gh",
      "04.50.+h",
      "11.10.Nx"
    ],
    "keywords": [
      "gauge theory",
      "yang-mills theory",
      "noncommutative electromagnetism",
      "emergent geometry",
      "gauge-higgs system"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal C",
      "year": 2009,
      "month": "Dec",
      "volume": 64,
      "number": 3,
      "pages": 445
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 748197,
      "adsabs": "2009EPJC...64..445Y"
    }
  }
}