AdS plane waves and entanglement entropy

Abstract

AdS plane waves describe simple backgrounds which are dual to anisotropically excited systems with energy fluxes. Upon dimensional reduction, they reduce to hyperscaling violating spacetimes: in particular, the $Ad{S}_5$ plane wave is known to exhibit logarithmic behavior of the entanglement entropy. In this paper, we carry out an extensive study of the holographic entanglement entropy for strip-shaped subsystems in AdS plane wave backgrounds. We find that the results depend crucially on whether the strip is parallel or orthogonal to the energy current. In the latter case, we show that there is a phenomenon analogous to a phase transition.

Latex, 24pgs, 3 figs, v2: typos fixed, comments added

References in corpus (18)

• Effective Holographic Theories for low-temperature condensed matter systems
• Entanglement as a Probe of Confinement
• Thermalization of Strongly Coupled Field Theories
• Holographic Evolution of Entanglement Entropy
• Thermodynamical Property of Entanglement Entropy for Excited States
• Holography of Dyonic Dilaton Black Branes
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Lifshitz Solutions of D=10 and D=11 supergravity
• Constructing Lifshitz solutions from AdS
• Lifshitz solutions in supergravity and string theory
• Domain Wall Holography for Finite Temperature Scaling Solutions
• On the IR completion of geometries with hyperscaling violation
• Hyperscaling-Violation on Probe D-Branes
• Hyperscaling violation from supergravity
• Special limits and non-relativistic solutions
• On Holography with Hyperscaling Violation
• Entangled Dilaton Dyons
• On Holographic Entanglement Entropy of Charged Matter

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