Holographic charged Renyi entropies

被引：128

作者：

Belin, Alexandre ^{[1
,2
,3
]}

Hung, Ling-Yan ^{[3
]}

Maloney, Alexander ^{[1
,2
,3
]}

Matsuura, Shunji ^{[1
,2
,3
]}

Myers, Robert C. ^{[4
]}

Sierens, Todd ^{[4
,5
]}

机构：

[1] McGill Univ, Dept Phys, Montreal, PQ H3A 2T8, Canada

[2] McGill Univ, Dept Math, Montreal, PQ H3A 2T8, Canada

[3] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA

[4] Perimeter Inst Theoret Phys, Waterloo, ON N2L 6B9, Canada

[5] Univ Waterloo, Dept Phys & Astron, Guelph Waterloo Phys Inst, Waterloo, ON N2L 3G1, Canada

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Gauge-gravity correspondence; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT); ADS-CFT CORRESPONDENCE; HEAT KERNEL; BLACK-HOLE; ENTANGLEMENT;

D O I：

10.1007/JHEP12(2013)059

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：

We construct a new class of entanglement measures by extending the usual definition of Renyi entropy to include a chemical potential. These charged Renyi entropies measure the degree of entanglement in different charge sectors of the theory and are given by Euclidean path integrals with the insertion of a Wilson line encircling the entangling surface. We compute these entropies for a spherical entangling surface in CFT's with holographic duals, where they are related to entropies of charged black holes with hyperbolic horizons. We also compute charged Renyi entropies in free field theories.

引用

页数：50

共 50 条

[1] Charged Renyi entropies and holographic superconductors
Belin, Alexandre
Hung, Ling-Yan
Maloney, Alexander
Matsuura, Shunji
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2015, (01):
[2] Holographic phases of Renyi entropies
Belin, Alexandre
Maloney, Alexander
Matsuura, Shunji
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2013, (12):
[3] Charged Renyi entropies in CFTs with Einstein-Gauss-Bonnet holographic duals
Pastras, Georgios
Manolopoulos, Dimitrios
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2014, (11): : 1 - 42
[4] Entanglement Renyi entropies in holographic theories
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[J]. PHYSICAL REVIEW D, 2010, 82 (12)
[5] Holographic Renyi entropies at finite coupling
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Myers, Robert C.
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2013, (08):
[6] Charged Renyi entropies for free scalar fields
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[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (16)
[7] Extending charged holographic Renyi entropy
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[J]. CLASSICAL AND QUANTUM GRAVITY, 2021, 38 (13)
[8] Shape deformations of charged Renyi entropies from holography
Baiguera, Stefano
Bianchi, Lorenzo
Chapman, Shira
Galante, Damian A.
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (06)
[9] Holographic charged Rényi entropies
Alexandre Belin
Ling-Yan Hung
Alexander Maloney
Shunji Matsuura
Robert C. Myers
Todd Sierens
[J]. Journal of High Energy Physics, 2013
[10] Charged Rényi entropies and holographic superconductors
Alexandre Belin
Ling-Yan Hung
Alexander Maloney
Shunji Matsuura
[J]. Journal of High Energy Physics, 2015

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