{
  "id": "1407.6511",
  "version": "v2",
  "published": "2014-07-24T09:53:21.000Z",
  "updated": "2015-11-03T08:09:41.000Z",
  "title": "Holographic Entanglement Entropy of Mass-deformed ABJM Theory",
  "authors": [
    "Kyung Kiu Kim",
    "O-Kab Kwon",
    "Chanyong Park",
    "Hyeonjoon Shin"
  ],
  "comment": "23 pages, 3 figures",
  "journal": "Phys. Rev. D 90, 126003 (2014)",
  "doi": "10.1103/PhysRevD.90.126003",
  "categories": [
    "hep-th"
  ],
  "abstract": "We investigate the effect of supersymmetry preserving mass deformation near the UV fixed point represented by the ${\\cal N}=6$ ABJM theory. In the context of the gauge/gravity duality, we analytically calculate the leading small mass effect on the renormalized entanglement entropy (REE) for the most general Lin-Lunin-Maldacena (LLM) geometries in the cases of the strip and disk shaped entangling surfaces. Our result shows that the properties of the REE in (2+1)-dimensions are consistent with those of the $c$-function in (1+1)-dimensions. We also discuss the validity of our computations in terms of the curvature behavior of the LLM geometry in the large $N$ limit and the relation between the correlation length and the mass parameter for a special LLM solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-24T09:53:21.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-11-03T08:09:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.25.Tq",
      "11.27.+d",
      "03.65.Ud"
    ],
    "keywords": [
      "holographic entanglement entropy",
      "mass-deformed abjm theory",
      "supersymmetry preserving mass deformation",
      "special llm solution",
      "leading small mass effect"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevD.90.126003",
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2014,
      "month": "Dec",
      "volume": 90,
      "number": 12,
      "pages": 126003
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1307790,
      "adsabs": "2014PhRvD..90l6003K"
    }
  }
}