Bekenstein-Hawking entropy as topological entanglement entropy

被引：44

作者：

McGough, Lauren ^{[1
]}

Verlinde, Herman ^{[1
,2
]}

机构：

[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

[2] Princeton Univ, Princeton Ctr Theoret Sci, Princeton, NJ 08544 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 11期

基金：

美国国家科学基金会;

关键词：

Black Holes; Topological States of Matter; Gauge-gravity correspondence; QUANTUM LIOUVILLE THEORY; CONFORMAL FIELD-THEORY; FUSION RULES; BLACK-HOLES; GRAVITY; CHARGES;

D O I：

10.1007/JHEP11(2013)208

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Black holes in 2+1 dimensions enjoy long range topological interactions similar to those of non-abelian anyon excitations in a topologically ordered medium. Using this observation, we compute the topological entanglement entropy of BTZ black holes via the established formula S-top = log(S-0(a)), with S-b(a) the modular S-matrix of the Virasoro characters chi(a)(tau). We find a precise match with the Bekenstein-Hawking entropy. This result adds a new twist to the relationship between quantum entanglement and the interior geometry of black holes. We generalize our result to higher spin black holes, and again find a detailed match. We comment on a possible alternative interpretation of our result in terms of boundary entropy.

引用

页数：16

共 50 条

[21] On the relation between Bekenstein-Hawking entropy and Landauer's principle
Song, Daegene
MODERN PHYSICS LETTERS A, 2024, 39 (14)
[22] Correction value to charged Bekenstein-Hawking black hole entropy
LiChun Zhang
YueQin Wu
Ren Zhao
Science in China Series G: Physics, Mechanics and Astronomy, 2008, 51 : 1214 - 1220
[23] Thermodynamics of exotic black holes, negative temperature, and Bekenstein-Hawking entropy
Park, Mu-In
PHYSICS LETTERS B, 2007, 647 (5-6) : 472 - 476
[24] Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy
Contreras, Ernesto
Villalba, Fabian D.
Bargueno, Pedro
EPL, 2016, 114 (05)
[25] Bekenstein-Hawking entropy in expanding universes from black hole theorems
Viaggiu, Stefano
MODERN PHYSICS LETTERS A, 2014, 29 (17)
[26] The Bekenstein-Hawking entropy of higher-dimensional rotating black holes
Ma, Zheng Ze
PROGRESS OF THEORETICAL PHYSICS, 2006, 115 (05): : 863 - 871
[27] Saturating the Bekenstein-Hawking entropy bound with initial data sets for gravitational collapse
Bahrami, Sina
PHYSICAL REVIEW D, 2017, 95 (02)
[28] Universal Property of Quantum Gravity implied by Uniqueness Theorem of Bekenstein-Hawking Entropy
Saida, Hiromi
ENTROPY, 2011, 13 (09) : 1611 - 1647
[29] Bekenstein-Hawking entropy products for NUT class of black holes in AdS space
Pradhan, Parthapratim
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2024, 39 (07N08):
[30] Universal property of quantum gravity implied by uniqueness theorem of Bekenstein-Hawking entropy
Saida, H.
VISHWA MIMANSA: AN INTERPRETATIVE EXPOSITION OF THE UNIVERSE. PROCEEDINGS OF THE 7TH INTERNATIONAL CONFERENCE ON GRAVITATION AND COSMOLOGY, 2014, 484

← 1 2 3 4 5 →