Holographic complexity in dS d+1

Abstract We study the CV, CA, and CV2.0 approaches to holographic complexity in (d + 1)-dimensional de Sitter spacetime. We find that holographic complexity and corresponding growth rate presents universal behaviour for all three approaches. In particular, the holographic complexity exhibits ‘hyperf...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2022; no. 5; pp. 1 - 52
Main Authors Eivind Jørstad, Robert C. Myers, Shan-Ming Ruan
Format Journal Article
LanguageEnglish
Published SpringerOpen 01.05.2022
Subjects
AdS-CFT Correspondence
Gauge-Gravity Correspondence
Models of Quantum Gravity
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Summary:Abstract We study the CV, CA, and CV2.0 approaches to holographic complexity in (d + 1)-dimensional de Sitter spacetime. We find that holographic complexity and corresponding growth rate presents universal behaviour for all three approaches. In particular, the holographic complexity exhibits ‘hyperfast’ growth [1] and appears to diverge with a universal power law at a (finite) critical time. We introduce a cutoff surface to regulate this divergence, and the subsequent growth of the holographic complexity is linear in time.
ISSN:1029-8479
DOI:10.1007/JHEP05(2022)119