Holographic Entanglement Entropy, Subregion Complexity and Fisher Information metric of `black' Non-SUSY D3 Brane

TL;DR

This paper explores holographic entanglement entropy, subregion complexity, and Fisher information metric in a non-supersymmetric D3 brane background, revealing differences in results depending on the computational proposal used.

Contribution

It provides the first holographic calculations of EE, complexity, and Fisher information in a non-supersymmetric, non-conformal D3 brane background, highlighting discrepancies between different volume proposals.

Findings

Fidelity and Fisher information metric depend on the volume proposal used.

Results differ from the AdS black hole case for non-supersymmetric backgrounds.

Holographic measures reveal non-conformal, non-supersymmetric features of the dual QFT.

Abstract

The BPS D3 brane has a non-supersymmetric cousin, called the non-susy D3 brane, which is also a solution of type IIB string theory. The corresponding counterpart of black D3 brane is the `black' non-susy D3 brane and like the BPS D3 brane, it also has a decoupling limit, where the decoupled geometry (in the case we are interested, this is asymptotically AdS$_5$ $\times$ S$^5$) is the holographic dual of a non-conformal, non-supersymmetric QFT in $(3+1)$-dimensions. In this QFT we compute the entanglement entropy (EE), the complexity and the Fisher information metric holographically using the above mentioned geometry for spherical subsystems. The fidelity and the Fisher information metric have been calculated from the regularized extremal volume of the codimension one time slice of the bulk geometry using two different proposals in the literature. Although for AdS black hole both the proposals give identical results, the results differ for the non-supersymmetric background.