Abstract
We investigate observables within the framework of the codimension-one C=Anything (CAny) proposal for Schwarzschild-de Sitter (SdS) space under the influence of shockwave sources. Within the proposal, there is a set of time-reversal invariant observables that display the same rate of growth at early and late times for a background with or without shockwave sources. Once we introduce shockwaves in the weak gravitational coupling regime, there is a decrease in the late-time complexity growth due to cancellations with early-time perturbations, known as the switchback effect. The result shows that some CAny observables in SdS may reproduce the same type of behavior found in anti-de Sitter black holes. We comment on how our results might guide us to new explorations in the putative quantum mechanical theory.
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Acknowledgments
It’s my pleasure to thank Stefano Baiguera, Alex Belin, Rotem Berman, Michal P. Heller, Eivind Jørstad, Edward K. Morvan-Benhaim, Juan F. Pedraza, Andrew Svesko, Silke Van der Schueren, and Nicolò Zenoni for valuable discussions. I also thank the University of Amsterdam, and the Delta Institute for Theoretical Physics for their hospitality and support during various phases of this project; and to the organizers of the Modave summer school, where part of the project was completed. The work of SEAG is partially supported by the FWO Research Project G0H9318N and the inter-university project iBOF/21/084.
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Aguilar-Gutierrez, S.E. C=Anything and the switchback effect in Schwarzschild-de Sitter space. J. High Energ. Phys. 2024, 62 (2024). https://doi.org/10.1007/JHEP03(2024)062
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DOI: https://doi.org/10.1007/JHEP03(2024)062