Abstract:
In this paper, we will regularize the holographic
entanglement entropy, holographic complexity and fidelity
susceptibility for a configuration of D3-branes. We will also
study the regularization of the holographic complexity from
the action for a configuration of D3-branes. It will be demonstrated that for a spherical shell of D3-branes the regularized
holographic complexity is always greater than or equal to the
regularized fidelity susceptibility. Furthermore, we will also
demonstrate that the regularized holographic complexity is
related to the regularized holographic entanglement entropy
for this system. Thus, we will obtain a holographic bound
involving regularized holographic complexity, regularized
holographic entanglement entropy and regularized fidelity
susceptibility of a configuration of D3-brane. We will also
discuss a bound for regularized holographic complexity from
action, for a D3-brane configuration.
