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 `hyperfast' growth [arXiv:2109.14104] 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.

42+11 pages, 2 appendices, N figures

References in corpus (18)

• Complexity and Shock Wave Geometries
• Gravitational action with null boundaries
• Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
• Quantum Complexity and Negative Curvature
• Einstein's Equations from Varying Complexity
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Does Complexity Equal Anything?
• Micromanaging de Sitter holography
• Towards a quantum theory of de Sitter space
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Path integral optimization as circuit complexity
• Quantum Information in Holographic Duality
• The central dogma and cosmological horizons
• Lectures on Gravity and Entanglement
• Holographic Complexity and de Sitter Space
• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• Lorentzian threads as 'gatelines' and holographic complexity
• Holographic Path-Integral Optimization

Cited by in corpus (23)

• Complexity Equals Anything II
• Krylov complexity in large-$q$ and double-scaled SYK model
• Black holes in dS${}_3$
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Quantum Kerr-de Sitter black holes in three dimensions
• Complex geodesics in de Sitter space
• The Cosmological Switchback Effect
• An Outsider's Perspective on Information Recovery in de Sitter Space
• Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?
• The Early Universe as an Open Quantum System: Complexity and Decoherence
• Volume complexity of dS bubbles
• Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
• Complexity = Anything Can Grow Forever in de Sitter
• The Cosmological Switchback Effect II
• Action complexity of charged black holes with higher derivative interactions
• Holographic Complexity and Phase Transition for AdS Black Holes
• Generalized holographic complexity of rotating black holes
• Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter
• The Complexity of Being Entangled
• The landscape of complexity measures in 2D gravity
• Quantum fluctuation on the worldsheet of probe string in BTZ black hole
• Holographic complexity of the Klebanov-Strassler background
• Entanglement Entropy and Complexity in Dyonic Quantum Black Holes