Complexity=Anything: Singularity Probes
arXiv:2304.05453 · doi:10.1007/JHEP07(2023)223
Abstract
We investigate how the complexity=anything observables proposed by [arXiv:2111.02429, arXiv:2210.09647] can be used to investigate the interior geometry of AdS black holes. In particular, we illustrate how the flexibility of the complexity=anything approach allows us to systematically probe the geometric properties of black hole singularities. We contrast our results for the AdS Schwarzschild and AdS Reissner-Nordström geometries, i.e., for uncharged and charged black holes, respectively. In the latter case, the holographic complexity observables can only probe the interior up to the inner horizon.
arXiv comment36+5 pages, 2 appendices, 7 figures; v2: minor modifications to match published version, typos corrected
References in corpus (51)
- Entanglement renormalization
- Complexity Equals Action
- Complexity and Shock Wave Geometries
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- From Big Crunch to Big Bang
- Quantum Computation as Geometry
- Tensor Network Renormalization
- The Black Hole Singularity in AdS/CFT
- Comments on Holographic Complexity
- A New Cosmological Scenario in String Theory
- Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
- On the Time Dependence of Holographic Complexity
- The black hole final state
- 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
- Entanglement renormalization for quantum fields
- Instability of Spacelike and Null Orbifold Singularities
- Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
- Black hole singularities: a numerical approach
- Linear growth of quantum circuit complexity
- A Resolution of the Cosmological Singularity with Orientifolds
- From Big Bang to Big Crunch and Beyond
- Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I)
- Does Complexity Equal Anything?
- Spacelike Singularities and Hidden Symmetries of Gravity
- Tensor network renormalization yields the multi-scale entanglement renormalization ansatz
- The geometry of null rotation identifications
- A Space-Time Orbifold: A Toy Model for a Cosmological Singularity
- Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
- Complexity and the bulk volume, a new York time story
- Holographic Spacetimes as Quantum Circuits of Path-Integrations
- Comments on Cosmological Singularities in String Theory
- On the Quantum Resolution of Cosmological Singularities using AdS/CFT
- Holographic Complexity And Cosmological Singularities
- The boundary dual of the bulk symplectic form
- Complexity Equals Anything II
- Classical and Quantum Features of the Mixmaster Singularity
- Holographic flows from CFT to the Kasner universe
- Holographic Signatures of Cosmological Singularities
- Gauge Theories with Time Dependent Couplings and their Cosmological Duals
- Lorentzian threads as 'gatelines' and holographic complexity
- Path-Integral Optimization from Hartle-Hawking Wave Function
- Trans-IR Flows to Black Hole Singularities
- Interior Structure and Complexity Growth Rate of Holographic Superconductor from M-Theory
- On Some Universal Features of the Holographic Quantum Complexity of Bulk Singularities
- Holographic Path-Integral Optimization
- Terminal Holographic Complexity
- Timelike BKL singularities and chaos in AdS/CFT
- Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
- Stringy Effects and the Role of the Singularity in Holographic Complexity
Cited by in corpus (18)
- Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos
- Quantum complexity in gravity, quantum field theory, and quantum information science
- Kasner interiors from analytic hairy black holes
- Complexity = Anything Can Grow Forever in de Sitter
- Non-perturbative Overlaps in JT Gravity: From Spectral Form Factor to Generating Functions of Complexity
- Diving into a holographic multi-band superconductor
- The Cosmological Switchback Effect II
- Diving inside holographic metals
- Holographic Complexity and Phase Transition for AdS Black Holes
- Quantum complexity and bulk timelike singularities
- Interior structure of the holographic s + p superconductor and chaotic-stable transition near the black hole singularity
- Generalized holographic complexity of rotating black holes
- The Complexity of Being Entangled
- The landscape of complexity measures in 2D gravity
- Generalized volume-complexity for Lovelock black holes
- Universal Time Evolution of Holographic and Quantum Complexity
- Entanglement Entropy and Complexity in Dyonic Quantum Black Holes
- Computational Complexity in Analogue Gravity