A Holographic Bound for D3-Brane

TL;DR

This paper establishes a holographic bound relating regularized holographic complexity, entanglement entropy, and fidelity susceptibility for D3-brane configurations, providing new insights into their interrelations.

Contribution

It introduces a holographic bound connecting complexity, entanglement entropy, and fidelity susceptibility specifically for D3-branes, including regularization methods and bounds from action.

Findings

Regularized holographic complexity ≥ fidelity susceptibility.

Holographic complexity relates to entanglement entropy in this system.

A bound for complexity from action is proposed.

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 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 than 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.