{
  "id": "2201.06871",
  "version": "v2",
  "published": "2022-01-18T10:54:28.000Z",
  "updated": "2022-01-24T16:58:51.000Z",
  "title": "Target space entanglement in a matrix model for the bubbling geometry",
  "authors": [
    "Asato Tsuchiya",
    "Kazushi Yamashiro"
  ],
  "comment": "19 pages, 16 figures, a reference added",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study the target space entanglement entropy in a complex matrix model that describes the chiral primary sector in $\\mathcal{N}=4$ super Yang-Mills theory, which is associated with the bubbling AdS geometry. The target space for the matrix model is a two-dimensional plane where the eigenvalues of the complex matrix distribute. The eigenvalues are viewed as the position coordinates of fermions, and the eigenvalue distribution corresponds to a droplet formed by the fermions. The droplet is identified with one that specifies a boundary condition in the bubbling geometry. We consider states in the matrix model that correspond to $AdS_5\\times S^5$, an AdS giant graviton and a giant graviton in the bubbling geometry. We calculate the target space entanglement entropy of a subregion for each of the states in the matrix model as well as the area of the boundary of the subregion in the bubbling geometry, and find a qualitative agreement between them.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-01-24T16:58:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bubbling geometry",
      "target space entanglement entropy",
      "complex matrix model",
      "chiral primary sector",
      "ads giant graviton"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}