Abstract
End of the world branes in AdS have been recently used to study problems deeply connected to quantum gravity, such as black hole evaporation and holographic cosmology. With non-critical tension and Neumann boundary condition, the end of the world brane often represents part of the degrees of freedom in AdS gravity and geometrically it is only part of the entire boundary. On the other hand, holographic \( T\overline{T} \) deformation can also give a boundary as a cutoff surface for AdS gravity. In this paper we consider AdS gravity with both the end of the world boundary and the cutoff boundary. Using partial reduction we obtain a brane world gravity glued to a \( T\overline{T} \) deformed bath. We compute both entanglement entropy and Page curve, and find agreement between the holographic results and island formula results.
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Acknowledgments
We are grateful for the useful discussions with Yunfeng Jiang and Wei Song. This work is supported by NSFC grant 12375063. YZ is also supported by NSFC 12247103 through Peng Huanwu Center for Fundamental Theory. This work is sponsored by Natural Science Foundation of Shanghai (21ZR1409800) as well as Shanghai Talent Development Fund.
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Deng, F., Wang, Z. & Zhou, Y. End of the world brane meets \( T\overline{T} \). J. High Energ. Phys. 2024, 36 (2024). https://doi.org/10.1007/JHEP07(2024)036
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DOI: https://doi.org/10.1007/JHEP07(2024)036