Complexity in de Sitter space

Reynolds, Alan P.; Ross, Simon F.

doi:10.1088/1361-6382/aa8122

Complexity in de Sitter space

Reynolds, Alan P.; Ross, Simon F.

Authors

Alan P. Reynolds

Professor Simon Ross s.f.ross@durham.ac.uk
Professor

Abstract

We consider the holographic complexity conjectures for de-Sitter invariant states in a quantum field theory on de Sitter space, dual to asymptotically anti-de Sitter geometries with de Sitter boundaries. The bulk holographic duals include solutions with or without a horizon. If we compute the complexity from the spatial volume, we find results consistent with general expectations, but the conjectured bound on the growth rate is not saturated. If we compute complexity from the action of the Wheeler–de Witt patch, we find qualitative differences from the volume calculation, with states of smaller energy having larger complexity than those of larger energy, even though the latter have bulk horizons.

Citation

Reynolds, A. P., & Ross, S. F. (2017). Complexity in de Sitter space. Classical and Quantum Gravity, 34(17), Article 175013. https://doi.org/10.1088/1361-6382/aa8122

Journal Article Type	Article
Acceptance Date	Jul 20, 2017
Online Publication Date	Aug 10, 2017
Publication Date	Aug 10, 2017
Deposit Date	Aug 11, 2017
Publicly Available Date	Aug 10, 2018
Journal	Classical and Quantum Gravity
Print ISSN	0264-9381
Electronic ISSN	1361-6382
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	34
Issue	17
Article Number	175013
DOI	https://doi.org/10.1088/1361-6382/aa8122
Related Public URLs	https://arxiv.org/abs/1706.03788

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Copyright Statement
This is an author-created, un-copyedited version of an article published in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6382/aa8122