{
  "id": "1907.03745",
  "version": "v1",
  "published": "2019-07-08T17:59:36.000Z",
  "updated": "2019-07-08T17:59:36.000Z",
  "title": "Heating up holography for single-trace $J\\bar{T}$ deformations",
  "authors": [
    "Luis Apolo",
    "Wei Song"
  ],
  "comment": "36 pages",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study thermodynamic aspects of a tractable toy model of holography for extremal Kerr black holes proposed in [arXiv:1806.10127]. On the gravity side, the theory can be described by the worldsheet action of string theory on a warped AdS$_3$ background supported by NS-NS flux. Once we turn on temperature, the deformed background is described by a black string solution of type IIB supergravity that features a locally warped AdS$_3$ factor. The dual field theory is conjectured to be a single-trace version of a $J\\bar{T}$-deformed CFT at finite temperature. As evidence for the correspondence we show that the spectrum of strings winding on the deformed background agrees with the spectrum of $J\\bar{T}$-deformed CFTs. Furthermore, we show that the gravitational charges of the black string match the averaged charges of a thermal ensemble in the dual field theory. Finally, we reproduce the Bekenstein-Hawking entropy of the black string from the microscopic density of states of $J\\bar{T}$-deformed CFTs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-08T17:59:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dual field theory",
      "holography",
      "deformed cft",
      "deformations",
      "extremal kerr black holes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}