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Holographic Derivation of Entanglement Entropy from AdS/CFT

Shinsei Ryu·Tadashi Takayanagi
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Abstract

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS_{d+2}, analogous to the Bekenstein-Hawking formula for black hole entropy. We show that our proposal perfectly reproduces the correct entanglement entropy in 2D CFT when applied to AdS_3. We also compare the entropy computed in AdS_5 \times S^5 with that of the free N=4 super Yang-Mills.

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Shinsei Ryu, Tadashi Takayanagi. 2006-03-07. Holographic Derivation of Entanglement Entropy from AdS/CFT. https://doi.org/10.1103/physrevlett.96.181602

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