Entanglement Thermodynamics of the Generalized Charged BTZ Black Hole

preprint2016arXivOpen access

Abstract

In this paper, we investigate the entanglement entropy for the generalized charged BTZ black hole through the AdS3/CFT2AdS_{3}/CFT_{2} correspondence. Using the holographic description of the entanglement entropy for the strip-subsystem in boundary CFT2CFT_{2}, we will find the first law-like relation between the variation of holographic entanglement entropy and the variation of energy of the subsystem in terms of the mass and the electric charge up to the second order. We also obtain appropriate counterterms to renormalize the energy tensor associated with the bulk on-shell actions.

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