Holographic entanglement entropy and entanglement thermodynamics of `black' non-susy D3 brane

TL;DR

This paper explores holographic entanglement entropy and thermodynamics in a non-supersymmetric D3 brane background, revealing a first law relation and a crossover from entanglement to thermal entropy at high temperatures.

Contribution

It provides the first holographic computation of entanglement entropy and thermodynamics for a non-supersymmetric D3 brane, extending AdS/CFT to non-conformal, non-supersymmetric QFTs.

Findings

Entanglement entropy computed for small subsystems matches holographic predictions.

A first law-like relation between entanglement entropy, temperature, and pressure is established.

Entanglement entropy transitions to thermal entropy at high temperature.

Abstract

Like BPS D3 brane, the non-supersymmetric (non-susy) D3 brane of type IIB string theory is also known to have a decoupling limit and leads to a non-supersymmetric AdS/CFT correspondence. The throat geometry in this case represents a QFT which is neither conformal nor supersymmetric. The `black' version of the non-susy D3 brane in the decoupling limit describes a QFT at finite temperature. Here we first compute the entanglement entropy for small subsystem of such QFT from the decoupled geometry of `black' non-susy D3 brane using holographic technique. Then we study the entanglement thermodynamics for the weakly excited states of this QFT from the asymptotically AdS geometry of the decoupled `black' non-susy D3 brane. We observe that for small subsystem this background indeed satisfies a first law like relation with a universal (entanglement) temperature inversely proportional to the size of the subsystem and an (entanglement) pressure normal to the entangling surface. Finally we show how the entanglement entropy makes a cross-over to the thermal entropy at high temperature.