Holographic entanglement entropy for Lif4(2) x S1 x S5 spacetime with string excitations

The (F1; D2; D8) brane configuration with Lif(4)((2)) x S-1 x S-5 geometry is a known Lifshitz vacua supported by massive B-mu nu field in type IIA theory. This system allows exact IR excitations which couple to massless modes of the fundamental string. Due to these massless modes the solutions have a flow to a dilatonic Lif(4)((3)) x S-1 x S-5 vacua in IR. We study the entanglement entropy on the boundary of this spacetime for the strip and the disk subsystems. To our surprise net entropy density of the excitations at first order is found to be independent of the typical size of subsystems. We interpret our results in light of the first law of entanglement thermodynamics.

Automated summary

The study of entanglement entropy on the boundary of the Lif(4)((2)) x S-1 x S-5 brane configuration reveals that the net entropy density of the first-order excitations is independent of the typical size of subsystems. This result is interpreted in the context of the first law of entanglement thermodynamics.