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

Aranya Bhattacharya; Shibaji Roy

doi:10.1016/j.physletb.2019.135032

paper

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

arXiv:1807.06361 · doi:10.1016/j.physletb.2019.135032

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.

arXiv comment15 pages, 0 figures, Final modified version. Accepted for publication in Physics Letters B

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

Abstract

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