More on entanglement properties of $Lif_4^{(2)}\times {S}^1\times S^5$ spacetime with string excitations

Abstract

The $Lif_{4}^{(2)} \times S^1 \times S^5$ spacetime is an exact solution of $F1-D2-D8$ configuration in type IIA supergravity and can accommodate charged excitations of the fundamental string. By gauge/gravity duality, it is related to an excited state of a non-relativistic QFT with anisotropic Lifshitz scaling symmetry. We study mutual and tripartite information and entanglement wedge cross-section in bulk gravity for boundary subsystems that are disjoint strips of very narrow width. Our work helps understand the nature of entanglement in the QFT excited state, which is in general a mixed one.