Holographic entanglement entropy for hollow cones and banana shaped regions - INSPIRE

DataBETA

Holographic entanglement entropy for hollow cones and banana shaped regions

Harald Dorn
(
- Humboldt U., Berlin
)

Feb 22, 2016

23 pages

Published in:

JHEP 06 (2016) 052

Published: Jun 9, 2016

e-Print:

1602.06756 [hep-th]

DOI:

10.1007/JHEP06(2016)052

Report number:

HU-EP-16-05

View in:

reference search3 citations

Citations per year

Abstract: (Springer)

We consider banana shaped regions as examples of compact regions, whose boundary has two conical singularities. Their regularised holographic entropy is calculated with all divergent as well as finite terms. The coefficient of the squared logarithmic divergence, also in such a case with internally curved boundary, agrees with that calculated in the literature for infinite circular cones with their internally flat boundary. For the otherwise conformally invariant coefficient of the ordinary logarithmic divergence an anomaly under exceptional conformal transformations is observed.

Note:

22 pages, 6 figures, comment added after eq. (71), version as appeared in JHEP

AdS-CFT Correspondence
Differential and Algebraic Geometry
Gaugegravity correspondence
entropy: entanglement
entropy: holography
invariance: conformal
anomaly

References(19)

Figures(6)

[1]

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

[2]

Entanglement entropy of black holes

Sergey N. Solodukhin
(
- Tours U., CNRS
)

- Living Rev.Rel. 14 (2011) 8
•
e-Print:
- 1104.3712
•
DOI:
- 10.12942/lrr-2011-8

[3]

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

[4]

Conformal anomaly of submanifold observables in AdS / CFT correspondence

- Nucl.Phys.B 546 (1999) 52-64
•
e-Print:
- hep-th/9901021
•
DOI:
- 10.1016/S0550-3213(99)00055-3

[5]

Entanglement entropy, conformal invariance and extrinsic geometry

Sergey N. Solodukhin
(
- Tours U., CNRS
)

- Phys.Lett.B 665 (2008) 305-309
•
e-Print:
- 0802.3117
•
DOI:
- 10.1016/j.physletb.2008.05.071

[6]

Entanglement Entropy for Singular Surfaces

- JHEP 09 (2012) 013
•
e-Print:
- 1206.5225
•
DOI:
- 10.1007/JHEP09(2012)013

[7]

Universal entanglement for higher dimensional cones

- JHEP 12 (2015) 168
•
e-Print:
- 1508.00587
•
DOI:
- 10.1007/JHEP12(2015)168

[8]

Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity

Soo-Jong Rey
(
- Seoul Natl. U.
)
,
Jung-Tay Yee
(
- Seoul Natl. U.
)

- Eur.Phys.J.C 22 (2001) 379-394
•
e-Print:
- hep-th/9803001
•
DOI:
- 10.1007/s100520100799

[9]

Wilson loops in large N field theories

Juan Martin Maldacena
(
- Harvard U.
)

- Phys.Rev.Lett. 80 (1998) 4859-4862
•
e-Print:
- hep-th/9803002
•
DOI:
- 10.1103/PhysRevLett.80.4859

[10]

Wilson loops and minimal surfaces

Nadav Drukker
(
- Santa Barbara, KITP and
- Princeton U.
)
,
David J. Gross
(
- Santa Barbara, KITP
)
,
Hirosi Ooguri
(
- UC, Berkeley and
- LBL, Berkeley
)

- Phys.Rev.D 60 (1999) 125006
•
e-Print:
- hep-th/9904191
•
DOI:
- 10.1103/PhysRevD.60.125006

[11]

AdS/CFT and strong subadditivity of entanglement entropy

Tomoyoshi Hirata
(
- Kyoto U.
)
,
Tadashi Takayanagi
(
- Kyoto U.
)

- JHEP 02 (2007) 042
•
e-Print:
- hep-th/0608213
•
DOI:
- 10.1088/1126-6708/2007/02/042

[12]

New inequality for Wilson loops from AdS/CFT

Tomoyoshi Hirata
(
- Kyoto U.
)

- JHEP 03 (2008) 018
•
e-Print:
- 0801.2863
•
DOI:
- 10.1088/1126-6708/2008/03/018

[13]

On Shape Dependence and RG Flow of Entanglement Entropy

Igor R. Klebanov
(
- Princeton, Inst. Advanced Study
)
,
Tatsuma Nishioka
(
- Princeton U.
)
,
Silviu S. Pufu
(
- MIT
)
,
Benjamin R. Safdi
(
- Princeton U.
)

- JHEP 07 (2012) 001
•
e-Print:
- 1204.4160
•
DOI:
- 10.1007/JHEP07(2012)001

[14]

Holographic Mutual Information for Singular Surfaces

M. Reza Mohammadi Mozaffar
(
- IPM, Tehran
)
,
Ali Mollabashi
(
- IPM, Tehran
)
,
Farzad Omidi
(
- IPM, Tehran
)

- JHEP 12 (2015) 082
•
e-Print:
- 1511.00244
•
DOI:
- 10.1007/JHEP12(2015)082

[15]

Wilson loops at strong coupling for curved contours with cusps

Harald Dorn
(
- Humboldt U., Berlin
)

- J.Phys.A 49 (2016) 14, 145402
•
e-Print:
- 1509.00222
•
DOI:
- 10.1088/1751-8113/49/14/145402

[16]

An Exact prediction of N=4 SUSYM theory for string theory

Nadav Drukker
(
- CIT-USC
)
,
David J. Gross
(
- Santa Barbara, KITP
)

- J.Math.Phys. 42 (2001) 2896-2914
•
e-Print:
- hep-th/0010274
•
DOI:
- 10.1063/1.1372177

[17]

Exceptional conformal anomaly of null polygonal Wilson loops

Harald Dorn
(
- Humboldt U., Berlin
)

- JHEP 11 (2013) 063
•
e-Print:
- 1307.6341
•
DOI:
- 10.1007/JHEP11(2013)063

[18]

Entanglement Renyi entropies in holographic theories

Matthew Headrick
(
- Brandeis U.
)

- Phys.Rev.D 82 (2010) 126010
•
e-Print:
- 1006.0047
•
DOI:
- 10.1103/PhysRevD.82.126010

[19]

Holographic entanglement entropy: near horizon geometry and disconnected regions

Erik Tonni
(
- MIT, LNS
)

- JHEP 05 (2011) 004
•
e-Print:
- 1011.0166
•
DOI:
- 10.1007/JHEP05(2011)004