Holographic entanglement entropy: near horizon geometry and disconnected regions

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Publication:457528

DOI10.1007/JHEP05(2011)004zbMATH Open1296.83048arXiv1011.0166MaRDI QIDQ457528

Author name not available (Why is that?)

Publication date: 26 September 2014

Published in: (Search for Journal in Brave)

Abstract: We study the finite term of the holographic entanglement entropy for the charged black hole in AdS(d+2) and other examples of black holes when the spatial region in the boundary theory is given by one or two parallel strips. For one large strip it scales like the width of the strip. The divergent term of its expansion as the turning point of the minimal surface approaches the horizon is determined by the near horizon geometry. Examples involving a Lifshitz scaling are also considered. For two equal strips in the boundary we study the transition of the mutual information given by the holographic prescription. In the case of the charged black hole, when the width of the strips becomes large this transition provides a characteristic finite distance depending on the temperature.


Full work available at URL: https://arxiv.org/abs/1011.0166



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