TY - JOUR
T1 - Holographic entanglement entropy
T2 - An overview
AU - Nishioka, Tatsuma
AU - Ryu, Shinsei
AU - Takayanagi, Tadashi
N1 - Funding Information:
We thank M. Kloster for detailed comments and discussions. We also acknowledge helpful discussions with D. Kessler, Q. Ouyang, L. Tang, and J. Widom. This research is supported by the NSF through Grants No. DMR-0211308 and No. MCB-0083704.
PY - 2009
Y1 - 2009
N2 - In this paper, we review recent progress on the holographic understanding of the entanglement entropy in the anti-de Sitter space/conformal field theory (AdS/CFT) correspondence. In general, the AdS/CFT relates physical observables in strongly coupled quantum many-body systems to certain classical quantities in gravity plus matter theories. In the case of our holographic entanglement entropy, its gravity dual turns out to be purely geometric, i.e. the area of minimal area surfaces in AdS spaces. One interesting application is to study various phase transitions by regarding the entanglement entropy as order parameters. Indeed we will see that our holographic calculations nicely reproduce the confinement/deconfinement transition. Our results can also be applied to understanding the microscopic origins of black hole entropy.
AB - In this paper, we review recent progress on the holographic understanding of the entanglement entropy in the anti-de Sitter space/conformal field theory (AdS/CFT) correspondence. In general, the AdS/CFT relates physical observables in strongly coupled quantum many-body systems to certain classical quantities in gravity plus matter theories. In the case of our holographic entanglement entropy, its gravity dual turns out to be purely geometric, i.e. the area of minimal area surfaces in AdS spaces. One interesting application is to study various phase transitions by regarding the entanglement entropy as order parameters. Indeed we will see that our holographic calculations nicely reproduce the confinement/deconfinement transition. Our results can also be applied to understanding the microscopic origins of black hole entropy.
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U2 - 10.1088/1751-8113/42/50/504008
DO - 10.1088/1751-8113/42/50/504008
M3 - Article
AN - SCOPUS:75849163829
SN - 1751-8113
VL - 42
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 50
M1 - 504008
ER -