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The holographic complexity and fidelity susceptibility have been defined asnew quantities dual to different volumes in AdS. In this paper, we will usethese new proposals to calculate both of these quantities for a variety ofinteresting deformations of AdS. We obtain the holographic complexity andfidelity susceptibility for an AdS black hole, Janus solution and a solutionwith cylindrically symmetry, an inhomogeneous background and a hyperscalingviolating background. It is observed that the holographic complexity depends onthe size of the subsystem for all these solutions and the fidelitysusceptibility does not have any such dependence.

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