Holographic entanglement negativity for disjoint subsystems in conformal field theories with a conserved charge

In this paper, we extend a holographic construction for the entanglement negativity of two disjoint subsystems in the literature to [Formula: see text]s with a conserved charge dual to bulk [Formula: see text] geometries. This involves an algebraic sum of the areas of bulk RT surfaces for certain appropriate combinations of subsystems. In this context, we compute the holographic entanglement negativity for two disjoint subsystems with long rectangular strip geometries in [Formula: see text]s dual to bulk RN-[Formula: see text] black holes in a perturbative framework. Our results at the leading order reproduce significant features observed earlier in the literature and conform to quantum information theory, which constitute strong substantiation of our construction.