{
  "id": "0905.0709",
  "version": "v3",
  "published": "2009-05-05T21:34:47.000Z",
  "updated": "2009-09-13T22:26:11.000Z",
  "title": "A multitrace deformation of ABJM theory",
  "authors": [
    "Ben Craps",
    "Thomas Hertog",
    "Neil Turok"
  ],
  "comment": "14 pages, 4 figures; v3. Clarification of precise relation to $O(N)\\times O(N)$ model and other minor comments added",
  "journal": "Phys.Rev.D80:086007,2009",
  "doi": "10.1103/PhysRevD.80.086007",
  "categories": [
    "hep-th"
  ],
  "abstract": "Motivated by the study of big crunch singularities in asymptotically $AdS_4$ spacetimes, we consider a marginal triple trace deformation of ABJM theory. The deformation corresponds to adding a potential which is unbounded below. In a 't Hooft large N limit, the beta function for the triple trace deformation vanishes, which is consistent with the near-boundary behavior of the bulk fields. At the next order in the 1/N expansion, the triple trace couplings exhibit non-trivial running, which we analyze explicitly in the limit of zero 't Hooft coupling, in which the model reduces to an $O(N)\\times O(N)$ vector model with large N. In this limit, we establish the existence of a perturbative UV fixed point, and we comment on possible non-perturbative effects. We also show that the bulk analysis leading to big crunch singularities extends to the $\\Zbar_k$ orbifold models dual to ABJM theory.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-09-13T22:26:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.25.Mj",
      "98.80.Cq"
    ],
    "keywords": [
      "abjm theory",
      "multitrace deformation",
      "triple trace deformation vanishes",
      "marginal triple trace deformation",
      "big crunch singularities extends"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2009,
      "month": "Oct",
      "volume": 80,
      "number": 8,
      "pages": "086007"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 819518,
      "adsabs": "2009PhRvD..80h6007C"
    }
  }
}