  In this paper, we will compute the holographic complexity (dual to a volume
in AdS), holographic fidelity susceptibility and the holographic entanglement
entropy (dual to an area in AdS) in a two-dimensional version of $AdS$ which is
dual to open strings. We will explicitly demonstrate that these quantities are
well defined, and then argue that a relation for fidelity susceptibility and
time should hold in general due to the $AdS_2$ version of the classical
Kepler's principle. We will demonstrate that it holds for $AdS_2$ solution as
well as conformal copies metrics in bulk theory of a prescribed dual conformal
invariant quantum mechanics which have been obtained in open string theory. We
will also show that hierarchical UV/IR mixing exists in boundary string theory
through the holographic bulk picture.
