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Holographic Derivation of Entanglement Entropy from AdS/CFT

Old Journal Club

Specialist level

Speaker:

Andrés Argandoña(UNAM, Mexico)

Location&Place:

Blue Room

Abstract:

Andrés Argandoña (UNAM, Mexico) will present Holographic Derivation of Entanglement Entropy from AdS/CFT (Shinsei Ryu y Tadashi Takayanagi, Phys.Rev.Lett. 96 (2006) 181602).

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.