{
  "id": "hep-th/0602003",
  "version": "v2",
  "published": "2006-01-31T22:33:19.000Z",
  "updated": "2006-02-14T23:12:01.000Z",
  "title": "Gravity Dual of Gauge Theory on S^2 x S^1 x R",
  "authors": [
    "Keith Copsey",
    "Gary T. Horowitz"
  ],
  "comment": "17 pages, 4 figures, v2: minor changes, added references",
  "journal": "JHEP0606:021,2006",
  "doi": "10.1088/1126-6708/2006/06/021",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "We (numerically) construct new static, asymptotically AdS solutions where the conformal infinity is the product of time and S^2 x S^1. There always exist a family of solutions in which the S^1 is not contractible and, for small S^1, there are two additional families of solutions in which the S^1 smoothly pinches off. This shows that (when fermions are antiperiodic around the S^1) there is a quantum phase transition in the gauge theory as one decreases the radius of the S^1 relative to the S^2. We also compare the masses of our solutions and argue that the one with lowest mass should minimize the energy among all solutions with conformal boundary S^2 x S^1 x R. This provides a new positive energy conjecture for asymptotically locally AdS metrics. A simple analytic continuation produces AdS black holes with topology S^2 x S^1.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-14T23:12:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theory",
      "gravity dual",
      "continuation produces ads black holes",
      "simple analytic continuation produces ads",
      "analytic continuation produces ads black"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "Journal of High Energy Physics",
      "year": 2006,
      "month": "Jun",
      "volume": 2006,
      "number": 6,
      "pages": "021"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 709656,
      "adsabs": "2006JHEP...06..021C"
    }
  }
}