The $(F1,D2,D8)$ brane configuration with $Li{f}_4^{(2)}\times S^1\times S^5$ 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 $Li{f}_4^{(3)}\times S^1\times S^5$ 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.

• Received 8 October 2020
• Accepted 5 February 2021

DOI:https://doi.org/10.1103/PhysRevD.103.066003

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Published by the American Physical Society