BCFT and Islands in two dimensions

Suzuki, Kenta; Takayanagi, Tadashi

doi:10.1007/JHEP06(2022)095

BCFT and Islands in two dimensions

Feb 17, 2022

41 pages

Published in:

JHEP 06 (2022) 095

Published: Jun 16, 2022

e-Print:

2202.08462 [hep-th]

DOI:

10.1007/JHEP06(2022)095

Report number:

YITP-22-14,
IPMU22-0002

View in:

reference search71 citations

Citations per year

Abstract: (Springer)

By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how the boundary condition of the BCFT is translated in the gravitational system. We examine this duality relation in a two-dimensional setup by looking at the computation of entanglement entropy and energy flux conservation. We also identify the two-dimensional gravity which is dual to the boundary dynamics of a BCFT. Moreover, we show that by considering a gravity solution with scalar fields turned on, we can reproduce one point functions correctly in the AdS/BCFT.

Note:

41 pages, 5 figures

AdS-CFT Correspondence
2D Gravity
Black Holes
Scale and Conformal Symmetries
dimension: 2
field theory: conformal
energy: flux
entropy: entanglement
field theory: scalar
gravitation

References(121)

Figures(8)

[1]

Entanglement Wedge Reconstruction and the Information Paradox

Geoffrey Penington
(
- Stanford U., ITP
)

- JHEP 09 (2020) 002
•
e-Print:
- 1905.08255
•
DOI:
- 10.1007/JHEP09(2020)002

[2]

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

[3]

The Page curve of Hawking radiation from semiclassical geometry

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

[4]

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

[5]

Time Dependence of Hawking Radiation Entropy

Don N. Page
(
- Alberta U.
)

- JCAP 09 (2013) 028
•
e-Print:
- 1301.4995
•
DOI:
- 10.1088/1475-7516/2013/09/028

[6]

Replica wormholes and the black hole interior

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

[7]

Replica Wormholes and the Entropy of Hawking Radiation

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

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

[9]

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

[10]

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

[11]

Quantum corrections to holographic entanglement entropy

- JHEP 11 (2013) 074
•
e-Print:
- 1307.2892
•
DOI:
- 10.1007/JHEP11(2013)074

[12]

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

[13]

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