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Holographic entanglement negativity for a single subsystem in conformal field theories with a conserved charge

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arxiv 2102.05848 v3 pith:XMW5VHCA submitted 2021-02-11 hep-th

classification hep-th
keywords holographicentanglementnegativitychargeconservedsinglebulkconstruction
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We utilize a holographic construction to compute the entanglement negativity for bipartite mixed state configurations of a single subsystem in $CFT_d$s with a conserved charge dual to bulk $AdS_{d+1}$ geometries. In this context, we obtain the holographic entanglement negativity for single subsystems with long rectangular strip geometries in $CFT_d$s with a conserved charge dual to bulk non extremal and extremal Reissner-Nordstr\"{o}m (RN)-$AdS_{d+1}$ black holes at the leading order in a perturbation theory. We demonstrate that the holographic entanglement negativity computed involves the elimination of thermal contributions at the leading order confirming earlier results in the literature. This also conforms to quantum information theory expectations and constitutes further consistency checks for the holographic construction.

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Cited by 1 Pith paper

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  1. Mixed state entanglement in deformed field theory at finite temperature

    hep-th 2024-12 conditional novelty 5.0 of 10

    For a TTbar-deformed CFT at finite temperature, the EWCS and holographic entanglement negativity both decrease as the deformation parameter grows, just as they do when temperature increases.

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