Holographic entanglement entropy and entanglement thermodynamics of ‘black’ non-susy D3 brane

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.

Holographic entanglement entropy, subregion complexity and Fisher information metric of ‘black’ non-susy D3 brane

“…As mentioned earlier, for lower spacetime dimensions (AdS 3 /CFT 2 ) the corresponding results matched. Since then, this dual description has been checked for several cases and it's regime of application has been extended to cases of higher dimensional and asymptotically AdS spacetimes [24][25][26]. For asymptotic AdS cases, one finds extra finite contributions to the EE other than that of the pure AdS spacetimes and it has also been studied in details in several works.…”

“…In this paper, we work with the decoupled geometry of 'black' non-susy D3 brane solution of type IIB string theory [26,[50][51][52]. This geometry is the gravity dual of a non-supersymmetric, non-conformal QFT in (3+1) dimensions at finite temperature which is also confining and has running coupling constant very much like QCD.…”

“…In general, the non-susy solution can be shown [53] to have a temperature T nonsusy = − δ2 2 1/4 1 πρ0 cosh θ (although there is a singularity at ρ = 0) which gives standard AdS 5 black hole temperature for δ 2 = −2. In our earlier work [26] we computed the change in EE for this asymptotically AdS 5 state and obtained the entanglement thermodynamics upto first order (in perturbation parameter m), considering only a small strip type subsystem. In this paper we compute holographically the change in EE as well as the change in complexity in both the first and the second order for the small spherical subsystem.…”

Holographic complexity of “black” non-susy D3-brane and the high temperature limit

“…In [28]- [30], a 'black' non-susy D3-brane has been considered. This solution is known to have a decoupling limit [31] which in turn leads to a gravity dual picture.…”

Holographic entanglement first law for d + 1 dimensional rotating cylindrical black holes

“…Also in Ref. [11][12][13][14][15][16][17] entanglement thermodynamics is investigated in various asymptotically AdS background by using the HEE. For example in Ref.…”