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Probing AdS Wormholes by Entanglement Entropy

2011/04/30 by Mitsutoshi Fujita, Yasuyuki Hatsuda, Tadashi Takayanagi
Physics and Astronomy · #hep-th #gr-qc

paper · pdf · doi:10.1007/jhep06(2011)141

17 pages, 6 figures, v2: references added

arxiv created 2011/05/11 · arxiv updated 2015/05/28

Abstract

In this paper, we study the Lorentzian AdS wormhole solutions constructed in arXiv:0808.2481 [hep-th]. Each of them is a classical solution interpolating between an AdS space and a flat space in type IIB supergravity. We calculate the holographic entanglement entropy to probe this geometry. Our analysis shows that there exits a mass gap in its holographic dual gauge theory and that the entanglement between the two boundaries is rather suppressed than that we naively expect for wormholes. We also examine the holographic conductivity on a probe D-brane in this spacetime.

Citations