Abstract
A long-standing and intriguing question is: does the holographic principle apply to cosmologies like de Sitter spacetime? In this work, we consider a half dS spacetime wherein a timelike boundary encloses the bulk spacetime, presenting a version of de Sitter holography. By analyzing the holographic entanglement entropy in this space and comparing it with that in AdS/CFT, we argue that gravity on a half dSd+1 is dual to a highly non-local field theory residing on dSd boundary. This non-locality induces a breach in the subadditivity of holographic entanglement entropy. Remarkably, this observation can be linked to another argument that time slices in global de Sitter space overestimate the degrees of freedom by redundantly counting the same Hilbert space multiple times.
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Acknowledgments
We are grateful to Takato Mori, Yusuke Taki and Zixia Wei for useful discussions. This work is supported by the Simons Foundation through the “It from Qubit” collaboration and by MEXT KAKENHI Grant-in-Aid for Transformative Research Areas (A) through the “Extreme Universe” collaboration: Grant Number 21H05187. TT is also supported by Inamori Research Institute for Science, and by JSPS Grant-in-Aid for Scientific Research (A) No. 21H04469. SMR is also supported by JSPS KAKENHI Research Activity Start-up Grant NO. 22K20370. YS is supported by Grant-in-Aid for JSPS Fellows No.23KJ1337. T. K. is supported by Grant-in-Aid for JSPS Fellows No. 23KJ1315.
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Kawamoto, T., Ruan, SM., Suzuki, Yk. et al. A half de Sitter holography. J. High Energ. Phys. 2023, 137 (2023). https://doi.org/10.1007/JHEP10(2023)137
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DOI: https://doi.org/10.1007/JHEP10(2023)137