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arxiv: 1310.4180 · v2 · pith:Y34GI4X5new · submitted 2013-10-15 · ✦ hep-th

Holographic Charged Renyi Entropies

Alexandre Belin , Ling-Yan Hung , Alexander Maloney , Shunji Matsuura , Robert C. Myers , Todd Sierens This is my paper
classification ✦ hep-th
keywords entropieschargedrenyicomputeentanglemententanglingholographicsurface
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We construct a new class of entanglement measures by extending the usual definition of Renyi entropy to include a chemical potential. These charged Renyi entropies measure the degree of entanglement in different charge sectors of the theory and are given by Euclidean path integrals with the insertion of a Wilson line encircling the entangling surface. We compute these entropies for a spherical entangling surface in CFT's with holographic duals, where they are related to entropies of charged black holes with hyperbolic horizons. We also compute charged Renyi entropies in free field theories.

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