Using the AdS/CFT correspondence we calculate the explicit form of the
entanglement entropy for the charged BTZ black hole. The leading term in the
large temperature expansion of the entropy function for this black hole
reproduces its Bekenstein-Hawking entropy and the subleading term, representing
the first corrections due to quantum entanglement, behaves as a logarithm of
the BH entropy.Comment: 5 page

Larranaga, Alexis

English

arXiv

Abstract. Using the AdS/CFT correspondence we calculate the explicit form of the entanglement entropy for the charged BTZ (Banados-Teitelboim-Zanelli) black hole. The leading term in the large temperature expansion of the entropy function for this black hole reproduces its Bekenstein-Hawking entropy and the subleading term, representing the first corrections due to quantum entanglement, behaves as a logarithm of the BH entropy. It has also been obtained an inverse of area term in subleading order similar to the reported when considering Hawking radiation as quantum tunneling of particles through the event horizon

Entanglement Entropy for the Charged BTZ Black Hole

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