Entanglement Entropy of AdS Black Holes

Entropy

Mariano Cadoni¹ 

关键词: black holes;    entanglement entropy;    holographic principle;   

DOI  :  10.3390/e12112244

来源: mdpi

【 摘 要 】

We review recent progress in understanding the entanglement entropy of gravitational configurations for anti-de Sitter gravity in two and three spacetime dimensions using the AdS/CFT correspondence. We derive simple expressions for the entanglement entropy of two- and three-dimensional black holes. In both cases, the leading term of the entanglement entropy in the large black hole mass expansion reproduces exactly the Bekenstein-Hawking entropy, whereas the subleading term behaves logarithmically. In particular, for the BTZ black hole the leading term of the entanglement entropy can be obtained from the large temperature expansion of the partition function of a broad class of 2D CFTs on the torus.

【 授权许可】

CC BY   
© 2010 by the authors; licensee MDPI, Basel, Switzerland.