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.

Slighly updated version. Accepted for publication in Phys. Letters B

References in corpus (5)

• Building an AdS/CFT superconductor
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Complexity and Shock Wave Geometries
• Thermodynamical Property of Entanglement Entropy for Excited States
• Entanglement entropy of black holes and AdS/CFT correspondence

Cited by in corpus (5)

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• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• Volume complexity for Janus ${\mathrm{AdS}}_3$ geometries
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Subsystem Complexity and Measurements in Holography