Holographic entanglement entropy: near horizon geometry and disconnected regions
arXiv:1011.0166 · doi:10.1007/JHEP05(2011)004
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.
29 pages, 7 figures
References in corpus (7)
- Entanglement as a Probe of Confinement
- Entanglement entropy of two disjoint intervals in conformal field theory II
- Remarks on the entanglement entropy for disconnected regions
- On String Theory Duals of Lifshitz-like Fixed Points
- Entanglement entropy of two disjoint blocks in XY chains
- Entanglement Entropy and Twist Fields
- Holographic entanglement entropy for disconnected regions
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