DATE: |
2006-06-13 11:00 - 12:00 |
PLACE: |
Kenkyu Honkan 2F RM 220 |
TITLE: |
A Holographic Interpretation of Entanglement Entropy |
CONTACT: |
tsuda |
SPEAKER: |
Tadashi Takayanagi (Kyoto University) |
LANGUAGE: |
Japanese |
ABSTRACT: |
A holographic interpretation of the entanglement entropy in quantum (conformal) field theories is discussed from the viewpoint of AdS/CFT correspondence. We propose 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 discuss higer dimensional cases especially $AdS_5/CFT_4$ examples. We find that an important part of the entanglement entropy is related to the central charge of 4D CFT. |
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