Abstract:
In this paper, we will analyze the connection
between the fidelity susceptibility, the holographic complexity and the thermodynamic volume. We will regularize the
fidelity susceptibility and the holographic complexity by subtracting the contribution of the background AdS spacetime
from the deformation of the AdS spacetime. It will be demonstrated that this regularized fidelity susceptibility has the
same behavior as the thermodynamic volume and that the
regularized complexity has a very different behavior. As the
information dual to different volumes in the bulk would be
measured by the fidelity susceptibility and the holographic
complexity, this paper will establish a connection between
thermodynamics and information dual to a volume.
