Holographic entanglement thermodynamics for higher dimensional charged black hole

TL;DR

This paper explores the thermodynamics of holographic entanglement entropy in higher-dimensional charged AdS black holes, analyzing extremal and non-extremal cases across temperature regimes to establish a first law in boundary field theory.

Contribution

It provides a detailed study of entanglement thermodynamics in higher-dimensional charged black holes, including computations in various regimes and deriving the first law for boundary theories.

Findings

Entanglement entropy computed for extremal and non-extremal black holes.

First law of entanglement thermodynamics established in low temperature regime.

Analysis covers both low and high temperature limits in higher dimensions.

Abstract

In this paper, we have investigated the entanglement thermodynamics for $d$-dimensional charged $AdS$ black hole by studying the holographic entanglement entropy in different cases. We have first computed the holographic entanglement entropy in extremal and non-extremal cases in two different regimes, namely, the low temperature and high temperature limits. We then obtain the first law of entanglement thermodynamics for boundary field theory in the low temperature regime in $d$-dimensions.