Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?

Abstract

Volume complexity in dS${}_2$ remains $O(1)$ up to a critical time, after which it suddenly diverges. On the other hand, for the dS${}_2$ solution in JT gravity there is a linear dilaton which smoothly grows towards the future infinity. From the dimensional reduction viewpoint, the growth of the dilaton is due to the expansion of the orthogonal sphere in higher-dimensional dS${}_d$ ($d\ge 3$). Since in higher dimensions complexity becomes very large even before the critical time, by properly taking into account the dilaton, the same behavior is expected for complexity in dS${}_2$ JT gravity. We show that this expectation is met by complexity = action (CA) conjecture. For this purpose, we obtain an appropriate action for dS${}_2$ in JT gravity, by dimensional reduction from dS${}_3$. In addition, we discuss complexity = "refined volume" where we choose an appropriate Weyl field-redefinition such that refined volume avoids the discontinuous jump in time evolution.

arXiv commentv2, 30 pages, 3 figures, minor typos corrected, references added

References in corpus (44)

• Aspects of Holographic Entanglement Entropy
• Comments on the Sachdev-Ye-Kitaev model
• A Covariant Holographic Entanglement Entropy Proposal
• The dS/CFT Correspondence
• Complexity Equals Action
• Complexity and Shock Wave Geometries
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Circuit complexity in quantum field theory
• Towards Complexity for Quantum Field Theory States
• Conformal Vacua and Entropy in de Sitter Space
• Comments on Holographic Complexity
• On the Time Dependence of Holographic Complexity
• Holographic Complexity
• Noether charge, black hole volume, and complexity
• Complexity of Formation in Holography
• Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
• AdS${}_2$ holography and the SYK model
• Circuit complexity for free fermions
• A Boundary Term for the Gravitational Action with Null Boundaries
• De Sitter Musings
• Linear growth of quantum circuit complexity
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Does Complexity Equal Anything?
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Complexity growth of operators in the SYK model and in JT gravity
• Infrared Realization of dS${}_2$ in AdS${}_2$
• Complexity and the bulk volume, a new York time story
• Holographic Complexity Equals Which Action?
• On Complexity for Higher Derivative Gravities
• The Case of the Missing Gates: Complexity of Jackiw-Teitelboim Gravity
• Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity
• Complexity for Conformal Field Theories in General Dimensions
• De Sitter Horizons & Holographic Liquids
• Geometry of Complexity in Conformal Field Theory
• Complexity measures from geometric actions on Virasoro and Kac-Moody orbits
• Dilaton-gravity, deformations of the minimal string, and matrix models
• Conformal field theory complexity from Euler-Arnold equations
• Complexity and Behind the Horizon Cut Off
• Holographic Complexity in dS${}_{d+1}$
• Exact Gravity Duals for Simple Quantum Circuits
• Quantum Complexity as Hydrodynamics
• On Complexity of Jackiw-Teitelboim Gravity
• Revisit on holographic complexity in two-dimensional gravity
• On the saturation of late-time growth of complexity in supersymmetric JT gravity

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• Quantum complexity in gravity, quantum field theory, and quantum information science
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• Generalized holographic complexity of rotating black holes
• The Complexity of Being Entangled
• Jackiw-Teitelboim Gravity and Lorentzian Quantum Cosmology
• Entanglement Entropy and Complexity in Dyonic Quantum Black Holes