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.

Details

Title
Island formula in Planck brane
Author
Chang, Jing-Cheng 1 ; He, Song 2 ; Liu, Yu-Xiao 3   VIAFID ORCID Logo  ; Zhao, Long 4 

1  Lanzhou University, Key Laboratory for Quantum Theory and Applications of MoE, Lanzhou, China (GRID:grid.32566.34) (ISNI:0000 0000 8571 0482); Lanzhou University, Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou, China (GRID:grid.32566.34) (ISNI:0000 0000 8571 0482); School of Physical Science and Technology, Lanzhou University, Institute of Theoretical Physics and Research Center of Gravitation, Lanzhou, China (GRID:grid.32566.34) (ISNI:0000 0000 8571 0482) 
2  Jilin University, Center for Theoretical Physics and College of Physics, Changchun, People’s Republic of China (GRID:grid.64924.3d) (ISNI:0000 0004 1760 5735); Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Golm, Germany (GRID:grid.450243.4) (ISNI:0000 0001 0790 4262) 
3  Lanzhou University, Key Laboratory for Quantum Theory and Applications of MoE, Lanzhou, China (GRID:grid.32566.34) (ISNI:0000 0000 8571 0482); Lanzhou University, Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou, China (GRID:grid.32566.34) (ISNI:0000 0000 8571 0482) 
4  Jilin University, Center for Theoretical Physics and College of Physics, Changchun, People’s Republic of China (GRID:grid.64924.3d) (ISNI:0000 0004 1760 5735) 
Pages
6
Publication year
2023
Publication date
Nov 2023
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP11(2023)006
ProQuest document ID
2885676417
Copyright
© The Author(s) 2023. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.