Holographic Complexity and Fidelity Susceptibility as Holographic Information Dual to Different Volumes in AdS

Abstract

The holographic complexity and fidelity susceptibility have been defined as new quantities dual to different volumes in AdS. In this paper, we will use these new proposals to calculate both of these quantities for a variety of interesting deformations of AdS. We obtain the holographic complexity and fidelity susceptibility for an AdS black hole, Janus solution and a solution with cylindrically symmetry, an inhomogeneous background and a hyperscaling violating background. It is observed that the holographic complexity depends on the size of the subsystem for all these solutions and the fidelity susceptibility does not have any such dependence.

arXiv commentSlighly updated version. Accepted for publication in Phys. Letters B

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• Partial islands and subregion complexity in geometric secret-sharing model
• Holographic Subregion Complexity for Singular Surfaces
• A Note on Subregion Holographic Complexity
• Holographic complexity: A tool to probe the property of reduced fidelity susceptibility
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• On subregion holographic complexity and renormalization group flows
• Volume complexity for Janus ${\mathrm{AdS}}_3$ geometries
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
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• Holographic Complexity of Subregions in the Hyperscaling Violating Theories
• Thermodynamic and Holographic Information Dual to Volume
• Holographic Entanglement Entropy, Complexity, Fidelity Susceptibility and Hierarchical UV/IR Mixing Problem in $AdS_2/\mbox{open strings}$
• Subsystem Complexity and Measurements in Holography
• Fold bifurcation entangled surfaces for one-dimensional Kitaev lattice model