Holographic Entanglement Negativity for Disjoint Subsystems in Conformal Field Theories with a Conserved Charge
Abstract
We investigate the extension of a holographic construction for the entanglement negativity of two disjoint subsystems in proximity to CFTds with a conserved charge dual to bulk AdSd+1 geometries. The construction involves a specific algebraic sum of the areas of bulk co-dimension two static minimal surfaces homologous to certain appropriate combinations of the subsystems in question. In this connection we compute the holographic entanglement negativity for two disjoint subsystems in proximity, with long rectangular strip geometries in CFTds dual to bulk non extremal and extremal RN-AdSd+1 black holes. Our results conform to quantum information theory expectations and also reproduces earlier results for adjacent subsystems in the appropriate limit which constitutes strong consistency checks for our holographic construction.
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