Holographic derivation of entanglement entropy from the anti-de Sitter space/conformal field theory correspondence

被引：2968

作者：

Ryu, Shinsei ^{[1
]}

Takayanagi, Tadashi ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA

来源：

PHYSICAL REVIEW LETTERS | 2006年 / 96卷 / 18期

关键词：

D O I：

10.1103/PhysRevLett.96.181602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from anti-de Sitter/conformal field theory (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 agrees perfectly with the entanglement entropy in 2D CFT when applied to AdS(3). We also compare the entropy computed in AdS(5)xS(5) with that of the free N=4 super Yang-Mills theory.

引用

页数：4

共 50 条

[1] Entanglement entropy of black holes and anti-de Sitter space/conformal-field-theory correspondence
Solodukhin, Sergey N.
[J]. PHYSICAL REVIEW LETTERS, 2006, 97 (20)
[2] Holographic entanglement entropy for noncommutative anti-de Sitter space
Momeni, Davood
Raza, Muhammad
Myrzakulov, Ratbay
[J]. MODERN PHYSICS LETTERS A, 2016, 31 (12)
[3] Simple bulk reconstruction in anti-de Sitter/conformal field theory correspondence
Terashima, Seiji
[J]. PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2023, 2023 (05):
[4] Choptuik scaling and quasinormal modes in the anti-de Sitter space/conformal-field theory correspondence
Birmingham, D
[J]. PHYSICAL REVIEW D, 2001, 64 (06)
[5] Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
de Boer, Jan
Heller, Michal P.
Myers, Robert C.
Neiman, Yasha
[J]. PHYSICAL REVIEW LETTERS, 2016, 116 (06)
[6] Conformal field theories in anti-de Sitter space
Aharony, Ofer
Marolf, Donald
Rangamani, Mukund
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2011, (02):
[7] Minimal surfaces and entanglement entropy in anti-de Sitter space
Pavel Krtouš
Andrei Zelnikov
[J]. Journal of High Energy Physics, 2014
[8] Entanglement entropy of spherical domains in anti-de Sitter space
Krtous, Pavel
Zelnikov, Andrei
[J]. PHYSICAL REVIEW D, 2014, 89 (10):
[9] Minimal surfaces and entanglement entropy in anti-de Sitter space
Krtous, Pavel
Zelnikov, Andrei
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2014, (10):
[10] Conformal field theory correlators from classical scalar field theory on anti-de Sitter space
Muck, W
Viswanathan, KS
[J]. PHYSICAL REVIEW D, 1998, 58 (04)

← 1 2 3 4 5 →