Heating up holography for single-trace JT¯ deformations

Luis Apolo Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Wei Song Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2204.74008

2020.1
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 AdS3 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 AdS3 factor. The dual field theory is conjectured to be a single-trace version of a JT¯-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 JT¯-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 JT¯-deformed CFTs.
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@inproceedings{luis2020heating,
  title={Heating up holography for single-trace JT¯ deformations},
  author={Luis Apolo, and Wei Song},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429152456518101169},
  year={2020},
}
Luis Apolo, and Wei Song. Heating up holography for single-trace JT¯ deformations. 2020. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429152456518101169.
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