Probing AdS Wormholes by Entanglement Entropy
Mitsutoshi Fujita, Yasuyuki Hatsuda, Tadashi Takayanagi
TL;DR
This paper investigates Lorentzian AdS wormholes in type IIB supergravity using holographic entanglement entropy, revealing a mass gap and suppressed boundary entanglement in the dual gauge theory.
Contribution
It provides the first detailed analysis of holographic entanglement entropy in Lorentzian AdS wormholes, uncovering new features of the dual gauge theory.
Findings
Existence of a mass gap in the dual gauge theory
Suppressed entanglement between the boundaries
Insights into holographic conductivity on probe D-branes
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.
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