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.

arXiv comment42+11 pages, 2 appendices, N figures

References in corpus (67)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The dS/CFT Correspondence
• Complexity Equals Action
• Complexity and Shock Wave Geometries
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Complexity, action, and black holes
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Conformal Vacua and Entropy in de Sitter Space
• Gravitational action with null boundaries
• Holographic Entanglement Entropy
• The Second Law of Quantum Complexity
• Comments on Holographic Complexity
• Inflation and the dS/CFT Correspondence
• Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
• On the Time Dependence of Holographic Complexity
• Positive vacuum energy and the N-bound
• Noether charge, black hole volume, and complexity
• Complexity of Formation in Holography
• Cosmological Breaking of Supersymmetry?
• Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
• On Gravitational Shock Waves in Curved Spacetimes
• Bit threads and holographic entanglement
• Quantum Complexity and Negative Curvature
• The dS/dS Correspondence
• Deconstructing de Sitter
• Holographic Complexity in Vaidya Spacetimes II
• Einstein's Equations from Varying Complexity
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Inflation in AdS/CFT
• Does Complexity Equal Anything?
• Low-dimensional de Sitter quantum gravity
• Micromanaging de Sitter holography
• Subsystem Complexity and Holography
• Towards a quantum theory of de Sitter space
• Some Aspects of the de Sitter/CFT Correspondence
• Static Patch Solipsism: Conformal Symmetry of the de Sitter Worldline
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• De Sitter Holography and Entanglement Entropy
• Elliptic de Sitter Space: dS/Z_2
• Complexity of Mixed States in QFT and Holography
• Infrared Realization of dS${}_2$ in AdS${}_2$
• Singularities in Inflationary Cosmology: A Review
• Path integral optimization as circuit complexity
• Holographic Spacetimes as Quantum Circuits of Path-Integrations
• Quantum Information in Holographic Duality
• Tall tales from de Sitter space I: Renormalization group flows
• De Sitter Horizons & Holographic Liquids
• Riemannian and Lorentzian flow-cut theorems
• The central dogma and cosmological horizons
• Lectures on Gravity and Entanglement
• De Sitter Holography with a Finite Number of States
• Holographic Complexity and de Sitter Space
• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• A Holographic Entanglement Entropy Conjecture for General Spacetimes
• Toward a Holographic Theory for General Spacetimes
• Lorentzian threads as 'gatelines' and holographic complexity
• Spacetime from Unentanglement
• Holographic Path-Integral Optimization
• de Sitter entropy from conformal field theory
• Tall tales from de Sitter space II: Field theory dualities
• Auto-localization in de-Sitter space
• Calibrated Entanglement Entropy
• A paucity of bulk entangling surfaces: AdS wormholes with de Sitter interiors
• Terminal Holographic Complexity
• Holographic Bulk Reconstruction And Cosmological Singularities

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