Abstract
Double holography offers a profound understanding of the island formula by describing a gravitational system on AdSd coupled to a conformal field theory on ℝ1,d−1, dual to an AdSd+1 spacetime with an end-of-the-world (EOW) brane. In this work, we extend the proposal in [12] by considering that the dual bulk spacetime has two EOW branes: one with a gravitational system and the other with a thermal bath. We demonstrate an equivalence between this proposal and the wedge holographic theory. We examine it in both Anti-de Sitter gravity and de Sitter gravity by calculating the entanglement entropy of the Hawking radiation. Finally, we employ the doubly holographic model to verify the formula for the entanglement entropy in a subregion within conformally flat spacetime.
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Acknowledgments
We would like to thank Shan-Ming Ruan and Yuan Sun for their helpful discussion. S.H. would appreciate the financial support from the Fundamental Research Funds for the Central Universities and Max Planck Partner Group and the Natural Science Foundation of China (NSFC) Grants No. 12075101 and No. 12235016. This work was supported by the National Natural Science Foundation of China (Grants No. 11875151 and No. 12247101), the 111 Project under (Grant No. B20063) the Major Science and Technology Projects of Gansu Province, and “Lanzhou City’s scientic research funding subsidy to Lanzhou Universit”.
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Chang, JC., He, S., Liu, YX. et al. Island formula in Planck brane. J. High Energ. Phys. 2023, 6 (2023). https://doi.org/10.1007/JHEP11(2023)006
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DOI: https://doi.org/10.1007/JHEP11(2023)006