Entanglement entropy and the first law at third order for boosted black branes

Abstract

Gauge/gravity duality relates an AdS black hole with uniform boost with a boosted strongly-coupled CFT at finite temperature. We study the perturbative change in holographic entanglement entropy for strip sub-region in such gravity solutions up to third order and try to formulate a first law of entanglement thermodynamics including higher order corrections. The first law receives important contribution from an entanglement chemical potential in presence of boost. We find that suitable modifications to the entanglement temperature and entanglement chemical potential are required to account for higher order corrections. The results can be extended to non-conformal cases and AdS plane wave background.

20 pages, 4 figures; typos in equations (2.4), (5.2) and (6.2) corrected

References in corpus (5)

• Thermodynamical Property of Entanglement Entropy for Excited States
• Special limits and non-relativistic solutions
• Entanglement thermodynamics for an excited state of Lifshitz system
• AdS plane waves, entanglement and mutual information
• Generalized geodesic deviation equations and an entanglement first law for rotating BTZ black holes

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