{
  "id": "1304.7776",
  "version": "v2",
  "published": "2013-04-29T20:00:06.000Z",
  "updated": "2013-06-11T12:58:19.000Z",
  "title": "Lifshitz as a deformation of Anti-de Sitter",
  "authors": [
    "Yegor Korovin",
    "Kostas Skenderis",
    "Marika Taylor"
  ],
  "comment": "70 pages; v2: references added and minor improvements",
  "categories": [
    "hep-th",
    "cond-mat.str-el"
  ],
  "abstract": "We consider holography for Lifshitz spacetimes with dynamical exponent z=1+epsilon^2, where epsilon is small. We show that the holographically dual field theory is a specific deformation of the relativistic CFT, corresponding to the z=1 theory. Treating epsilon as a small expansion parameter we set up the holographic dictionary for Einstein-Proca models up to order epsilon^2 in three and four bulk dimensions. We explain how renormalization turns the relativistic conformal invariance into non-relativistic Lifshitz invariance with dynamical exponent z=1+epsilon^2. We compute the two-point function of the conserved spin two current for the dual two-dimensional field theory and verify that it is Lifshitz invariant. Using only QFT arguments, we show that a particular class of deformations of CFTs generically leads to Lifshitz scaling invariance and we construct examples of such deformations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-06-11T12:58:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anti-de sitter",
      "dual two-dimensional field theory",
      "dynamical exponent",
      "holographically dual field theory",
      "relativistic conformal invariance"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/JHEP08(2013)026",
      "journal": "Journal of High Energy Physics",
      "year": 2013,
      "month": "Aug",
      "volume": 2013,
      "pages": 26
    },
    "note": {
      "typesetting": "TeX",
      "pages": 70,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1231517,
      "adsabs": "2013JHEP...08..026K"
    }
  }
}