Holographic entanglement entropy for brane-world higher derivative gravity

Miao, Rong-Xin; Xie, Zi-Bing

doi:10.1007/JHEP03(2025)015

Holographic entanglement entropy for brane-world higher derivative gravity

Oct 23, 2024

27 pages

Published in:

JHEP 03 (2025) 015

Published: Mar 4, 2025

e-Print:

2410.18314 [hep-th]

DOI:

10.1007/JHEP03(2025)015

View in:

ADS Abstract Service

reference search0 citations

Citations per year

0 Citations

Abstract: (Springer)

Due to the splitting problem, it is difficult to derive the holographic entanglement entropy for general higher derivative gravity. Inspired by double holography and renormalized entanglement entropy, we develop a method to derive the generalized gravitational entropy for the brane-world higher derivative (BWHD) gravity. Remarkably, this approach is independent of the splitting problem. The so-called BWHD gravity is an effective theory on the brane, given by the counter terms of holographic renormalization. Interestingly, all solutions to Einstein gravity are also solutions to BWHD gravity. We first verify our approach can derive the correct results for curvature-squared gravity and then derive the holographic entanglement entropy for cubic BWHD gravity, which is the main result of this paper. We also derive the entropy of quartic BWHD gravity in flat space with constant extrinsic curvatures and perform several tests on our results. Finally, we briefly comment on our results.

Note:

27 pages, 0 figure, references added, published in JHEP

AdS-CFT Correspondence
Classical Theories of Gravity

References(50)

Figures(0)

[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]

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

Dimensional reduction in quantum gravity

Gerard 't Hooft
(
- Utrecht U.
)

- Conf.Proc.C 930308 (1993) 284-296
•
e-Print:
- gr-qc/9310026

[4]

The World as a hologram

Leonard Susskind
(
- Stanford U., Phys. Dept.
)

- J.Math.Phys. 36 (1995) 6377-6396
•
e-Print:
- hep-th/9409089
•
DOI:
- 10.1063/1.531249

[5]

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

[6]

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

[7]

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

[8]

The Page curve of Hawking radiation from semiclassical geometry

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

[9]

Quantum corrections to holographic entanglement entropy

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

[10]

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

The Quartic Effective Action for the Heterotic String

David J. Gross
(
- UC, Santa Barbara and
- Princeton U.
)
,
John H. Sloan
(
- UC, Santa Barbara and
- Princeton U.
)

- Nucl.Phys.B 291 (1987) 41-89
•
DOI:
- 10.1016/0550-3213(87)90465-2

Superstring Modifications of Einstein's Equations

David J. Gross
(
- Princeton U.
)
,
Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 277 (1986) 1,
- IN *DINE, M. (ED.): STRING THEORY IN FOUR DIMENSIONS* 238-247. (NUCL. PHYS. B277 (1986) 1-10) AND PREPRINT - GROSS, D.J. (86,REC.MAR.) 18 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0550-3213(86)90429-3