Abstract
We study the holographic complexity in de Sitter spacetime, especially how the hyperfast growth of holographic complexity in de Sitter spacetime is affected under a small and early perturbation. The perturbed geometry is de Sitter spacetime with shock waves. We find that the critical time, at which de Sitter holographic complexity diverges, becomes always greater in the presence of the shock waves, which satisfies the averaged null energy conditions. This means that the hyperfast property of de Sitter complexity is delayed by small perturbations.
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Acknowledgments
We would like to thank Tomonori Ugajin and Nicoló Zenoni for their helpful discussions. We would also like to thank Sunil Sake and Nicoló Zenoni for their helpful comments on our draft. The work of TA and NI was supported in part by JSPS KAKENHI Grant Number 21J20906(TA), 18K03619(NI). The work of NI was also supported by MEXT KAKENHI Grant-in-Aid for Transformative Research Areas A “Extreme Universe” No. 21H05184.
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Anegawa, T., Iizuka, N. Shock waves and delay of hyperfast growth in de Sitter complexity. J. High Energ. Phys. 2023, 115 (2023). https://doi.org/10.1007/JHEP08(2023)115
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DOI: https://doi.org/10.1007/JHEP08(2023)115