Addendum to: Entanglement of defect subregions in double holography - INSPIRE

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Addendum to: Entanglement of defect subregions in double holography

Yuxuan Liu
(
- Central South U., Changsha and
- Beijing, GUCAS
)
,
Qian Chen
(
- Beijing, GUCAS
)
,
Yi Ling
(
- Beijing, GUCAS and
- Beijing, Inst. High Energy Phys.
)
,
Cheng Peng
(
- Beijing, GUCAS
)
,
Yu Tian
(
- Beijing, GUCAS and
- Beijing, Inst. Theor. Phys.
)

Dec 13, 2023

1 page

Published in:

JHEP 09 (2024) 194,
JHEP 07 (2024) 274

Published: Sep 26, 2024
and
Published: Jul 30, 2024

e-Print:

2312.08025 [hep-th]

DOI:

View in:

ADS Abstract Service

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Abstract: (Springer)

In the framework of double holography, we investigate the entanglement behavior of a subregion of the defect on the boundary of a CFT

_{3}

. The entanglement entropy of this defect subregion is determined by the quantum extremal surface (QES) anchored at the two endpoints of the subregion from the brane perspective. We further analyze the entanglement entropy of the quantum matter within this QES, which can be extracted from the total entanglement entropy. We find there are two phases of the QES. To numerically distinguish these phases, we design a strategy for approaching the QES by progressively reducing the width of a semi-ellipse-like region within the CFT

_{3}

, which is bounded by the defect. During this process, we discover an entanglement phase transition driven by the degree of freedom on the brane. In the shrinking phase, the entanglement wedge of the defect subregion sharply decreases to zero as the removal of the CFT

_{3}

. In contrast, in the stable phase, the wedge almost remains constant. In this phase, the formulas of entanglement measures can be derived based on defect and CFT

_{3}

central charges in the semi-classical limit. For entanglement entropy, the classical geometry only contributes a subleading term with logarithmic divergence, but the matter entanglement exhibits a dominant linear divergence, even in the semi-classical limit. For the reflected entropy within the defect subregion, classical geometry contributes a leading term with logarithmic divergence, while the quantum matter within the entanglement wedge only contributes a finite term.

AdS-CFT Correspondence
Gauge-Gravity Correspondence
Models of Quantum Gravity
geometry: classical
entropy: entanglement
field theory: conformal
defect: conformal
space-time: anti-de Sitter
membrane model
holography

References(132)

Figures(1)

[1]

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[2]

Gauge theory correlators from noncritical string theory

S.S. Gubser
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Alexander M. Polyakov
(
- Princeton U.
)

- Phys.Lett.B 428 (1998) 105-114
•
e-Print:
- hep-th/9802109
•
DOI:
- 10.1016/S0370-2693(98)00377-3

[3]

Anti-de Sitter space and holography

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 253-291
•
e-Print:
- hep-th/9802150
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a2

[4]

Holographic derivation of entanglement entropy from AdS/CFT

- Phys.Rev.Lett. 96 (2006) 181602
•
e-Print:
- hep-th/0603001
•
DOI:
- 10.1103/PhysRevLett.96.181602

[5]

Aspects of Holographic Entanglement Entropy

Shinsei Ryu
(
- Santa Barbara, KITP
)
,
Tadashi Takayanagi
(
- Kyoto U.
)

- JHEP 08 (2006) 045
•
e-Print:
- hep-th/0605073
•
DOI:
- 10.1088/1126-6708/2006/08/045

[6]

A Covariant holographic entanglement entropy proposal

Veronika E. Hubeny
(
- Durham U. and
- Durham U., Dept. of Math.
)
,
Mukund Rangamani
(
- Durham U. and
- Durham U., Dept. of Math.
)
,
Tadashi Takayanagi
(
- Kyoto U.
)

- JHEP 07 (2007) 062
•
e-Print:
- 0705.0016
•
DOI:
- 10.1088/1126-6708/2007/07/062

[7]

Generalized gravitational entropy

- JHEP 08 (2013) 090
•
e-Print:
- 1304.4926
•
DOI:
- 10.1007/JHEP08(2013)090

[8]

Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime

Netta Engelhardt
(
- UC, Santa Barbara
)
,
Aron C. Wall
(
- UC, Santa Barbara
)

- JHEP 01 (2015) 073
•
e-Print:
- 1408.3203
•
DOI:
- 10.1007/JHEP01(2015)073

[9]

Gravity and the crossed product

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- JHEP 10 (2022) 008
•
e-Print:
- 2112.12828
•
DOI:
- 10.1007/JHEP10(2022)008

[10]

The Page curve of Hawking radiation from semiclassical geometry

- JHEP 03 (2020) 149
•
e-Print:
- 1908.10996
•
DOI:
- 10.1007/JHEP03(2020)149

[11]

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole

Ahmed Almheiri
(
- Princeton, Inst. Advanced Study
)
,
Netta Engelhardt
(
- Princeton U.
)
,
Donald Marolf
(
- UC, Santa Barbara
)
,
Henry Maxfield
(
- UC, Santa Barbara
)

- JHEP 12 (2019) 063
•
e-Print:
- 1905.08762
•
DOI:
- 10.1007/JHEP12(2019)063

Islands outside the horizon

e-Print:
- 1910.11077

[13]

Replica wormholes and the black hole interior

- JHEP 03 (2022) 205
•
e-Print:
- 1911.11977
•
DOI:
- 10.1007/JHEP03(2022)205

[14]

Replica Wormholes and the Entropy of Hawking Radiation

- JHEP 05 (2020) 013
•
e-Print:
- 1911.12333
•
DOI:
- 10.1007/JHEP05(2020)013

[15]

Entanglement islands in higher dimensions

- SciPost Phys. 9 (2020) 1, 001
•
e-Print:
- 1911.09666
•
DOI:
- 10.21468/SciPostPhys.9.1.001

[16]

Information Flow in Black Hole Evaporation

Hong Zhe Chen
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Zachary Fisher
(
- Perimeter Inst. Theor. Phys.
)
,
Juan Hernandez
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Robert C. Myers
(
- Perimeter Inst. Theor. Phys.
)
,
Shan-Ming Ruan
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

- JHEP 03 (2020) 152,
- JHEP03(2020)152
•
e-Print:
- 1911.03402
•
DOI:
- 10.1007/JHEP03(2020)152

[17]

Quantum Extremal Islands Made Easy, Part I: Entanglement on the Brane

Hong Zhe Chen
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Robert C. Myers
(
- Perimeter Inst. Theor. Phys.
)
,
Dominik Neuenfeld
(
- Perimeter Inst. Theor. Phys.
)
,
Ignacio A. Reyes
(
- Potsdam, MPI-KG
)
,
Joshua Sandor
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

- JHEP 10 (2020) 166
•
e-Print:
- 2006.04851
•
DOI:
- 10.1007/JHEP10(2020)166

[18]

Quantum Extremal Islands Made Easy, Part II: Black Holes on the Brane

- JHEP 12 (2020) 025
•
e-Print:
- 2010.00018
•
DOI:
- 10.1007/JHEP12(2020)025

Quantum extremal islands made easy. Part III. Complexity on the brane

Juan Hernandez
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Robert C. Myers
(
- Perimeter Inst. Theor. Phys.
)
,
Shan-Ming Ruan
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

- JHEP 02 (2021) 173
•
e-Print:
- 2010.16398
•
DOI:
- 10.1007/JHEP02(2021)173

Quantum extremal islands made easy. Part IV. Massive black holes on the brane

Guglielmo Grimaldi
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U. and
- Brandeis U.
)
,
Juan Hernandez
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U. and
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)
,
Robert C. Myers
(
- Perimeter Inst. Theor. Phys.
)

- JHEP 03 (2022) 136,
- JHEP 03 (2022) 136
•
e-Print:
- 2202.00679
•
DOI:
- 10.1007/JHEP03(2022)136

[21]

Entanglement Entropy in a Holographic Kondo Model

Johanna Erdmenger
(
- Munich, Max Planck Inst.
)
,
Mario Flory
(
- Munich, Max Planck Inst.
)
,
Carlos Hoyos
(
- Oviedo U.
)
,
Max-Niklas Newrzella
(
- Munich, Max Planck Inst.
)
,
Jackson M. S. Wu
(
- U. Alabama, Tuscaloosa and
- NCTS, Hsinchu
)

- Fortsch.Phys. 64 (2016) 109-130
•
e-Print:
- 1511.03666
•
DOI:
- 10.1002/prop.201500099

[22]

Black hole explosions

S.W. Hawking
(
- Cambridge U.
)

- Nature 248 (1974) 30-31
•
DOI:
- 10.1038/248030a0

DOI:
- 10.1142/9789814539395_0011

[24]

Breakdown of Predictability in Gravitational Collapse

S.W. Hawking
(
- Cambridge U. and
- Caltech
)

- Phys.Rev.D 14 (1976) 2460-2473
•
DOI:
- 10.1103/PhysRevD.14.2460

[25]

Information in black hole radiation

Don N. Page
(
- Alberta U.
)

- Phys.Rev.Lett. 71 (1993) 3743-3746
•
e-Print:
- hep-th/9306083
•
DOI:
- 10.1103/PhysRevLett.71.3743

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