Volume and complexity for warped AdS black holes

Abstract

We study the Complexity=Volume conjecture for Warped AdS${}_3$ black holes. We compute the spatial volume of the Einstein-Rosen bridge and we find that its growth rate is proportional to the Hawking temperature times the Bekenstein-Hawking entropy. This is consistent with expectations about computational complexity in the boundary theory.

18 pages, 3 figures, V2: refs added

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• Complexity and action for warped AdS black holes
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Holographic Complexity of Quantum Black Holes
• Holographic complexity of anisotropic black branes
• Thoughts on Holographic Complexity and its Basis-dependence
• Complexity growth rate during phase transitions
• The Cosmological Switchback Effect
• Holographic Subregion Complexity in Einstein-Born-Infeld theory
• Complexity growth of rotating black holes with a probe string
• On volume subregion complexity in Vaidya spacetime
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• On subregion action complexity in AdS${}_3$ and in the BTZ black hole
• On the time dependence of holographic complexity for charged AdS black holes with scalar hair
• Holographic complexity growth in a FLRW universe
• Subsystem complexity in warped AdS
• Action complexity in the presence of defects and boundaries
• Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• Holographic complexity: braneworld gravity versus the Lloyd bound
• The Cosmological Switchback Effect II
• Action complexity of charged black holes with higher derivative interactions
• Holographic and QFT Complexity with angular momentum
• Geometry of quantum complexity