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First law of entanglement entropy in AdS black hole backgrounds

First law of entanglement entropy in AdS black hole backgrounds

The first law for entanglement entropy in CFT in an odd-dimensional asymptotically AdS black hole is studied by using the $\mathrm{AdS}/\mathrm{CFT}$ duality. The entropy of CFT considered here is due to the entanglement between two subsystems separated by the horizon of the AdS black hole, which itself is realized as …