The University of Southampton
University of Southampton Institutional Repository
Warning ePrints Soton is experiencing an issue with some file downloads not being available. We are working hard to fix this. Please bear with us.

Holographic entanglement entropy of the Coulomb branch

Holographic entanglement entropy of the Coulomb branch
Holographic entanglement entropy of the Coulomb branch
We compute entanglement entropy (EE) of a spherical region in (3 + 1)-dimensional N = 4 supersymmetric SU(N) Yang-Mills theory in states described holographically by probe D3-branes in AdS5 × S5. We do so by generalising methods for computing EE from a probe brane action without having to determine the probe’s backreaction. On the Coulomb branch with SU(N) broken to SU(N − 1) × U(1), we find the EE monotonically decreases as the sphere’s radius increases, consistent with the a-theorem. The EE of a symmetric-representation Wilson line screened in SU(N − 1) also monotonically decreases, although no known physical principle requires this. A spherical soliton separating SU(N) inside from SU(N − 1) × U(1) outside had been proposed to model an extremal black hole. However, we find the EE of a sphere at the soliton’s radius does not scale with the surface area. For both the screened Wilson line and soliton, the EE at large radius is described by a position-dependent W-boson mass as a short-distance cutoff. Our holographic results for EE and one-point functions of the Lagrangian and stress-energy tensor show that at large distance the soliton looks like a Wilson line in a direct product of fundamental representations.
AdS/CFT correspondence, entanglement
1029-8479
O'bannon, Andrew
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Kumar, Prem
6789e808-d7a9-4d07-9156-c8450da3e611
Rodgers, Ronald
50624100-db56-478e-9b46-0db869df1020
Pribytok, Anton
f977f3e4-7fe4-43ab-9278-e5ab8fc9015e
Chalabi, Adam
fdf2f8ce-9b0e-44a1-b6e6-202e0ccccb7c
Sisti, Jacopo
d0865320-17e5-48b6-a89e-6b46c8e88f10
O'bannon, Andrew
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Kumar, Prem
6789e808-d7a9-4d07-9156-c8450da3e611
Rodgers, Ronald
50624100-db56-478e-9b46-0db869df1020
Pribytok, Anton
f977f3e4-7fe4-43ab-9278-e5ab8fc9015e
Chalabi, Adam
fdf2f8ce-9b0e-44a1-b6e6-202e0ccccb7c
Sisti, Jacopo
d0865320-17e5-48b6-a89e-6b46c8e88f10

O'bannon, Andrew, Kumar, Prem, Rodgers, Ronald, Pribytok, Anton, Chalabi, Adam and Sisti, Jacopo (2021) Holographic entanglement entropy of the Coulomb branch. Journal of High Energy Physics, 2021 (4), [153]. (doi:10.1007/JHEP04(2021)153).

Record type: Article

Abstract

We compute entanglement entropy (EE) of a spherical region in (3 + 1)-dimensional N = 4 supersymmetric SU(N) Yang-Mills theory in states described holographically by probe D3-branes in AdS5 × S5. We do so by generalising methods for computing EE from a probe brane action without having to determine the probe’s backreaction. On the Coulomb branch with SU(N) broken to SU(N − 1) × U(1), we find the EE monotonically decreases as the sphere’s radius increases, consistent with the a-theorem. The EE of a symmetric-representation Wilson line screened in SU(N − 1) also monotonically decreases, although no known physical principle requires this. A spherical soliton separating SU(N) inside from SU(N − 1) × U(1) outside had been proposed to model an extremal black hole. However, we find the EE of a sphere at the soliton’s radius does not scale with the surface area. For both the screened Wilson line and soliton, the EE at large radius is described by a position-dependent W-boson mass as a short-distance cutoff. Our holographic results for EE and one-point functions of the Lagrangian and stress-energy tensor show that at large distance the soliton looks like a Wilson line in a direct product of fundamental representations.

Text
Chalabi2021_Article_HolographicEntanglementEntropy - Version of Record
Available under License Creative Commons Attribution.
Download (1MB)

More information

Accepted/In Press date: 9 March 2021
Published date: 15 April 2021
Additional Information: Publisher Copyright: © 2021, The Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
Keywords: AdS/CFT correspondence, entanglement

Identifiers

Local EPrints ID: 453358
URI: http://eprints.soton.ac.uk/id/eprint/453358
ISSN: 1029-8479
PURE UUID: 5285d41c-b25b-44d7-95cf-33afe091ae07
ORCID for Andrew O'bannon: ORCID iD orcid.org/0000-0001-7862-783X
ORCID for Ronald Rodgers: ORCID iD orcid.org/0000-0002-4826-6540

Catalogue record

Date deposited: 13 Jan 2022 18:14
Last modified: 14 Jan 2022 02:45

Export record

Altmetrics

Contributors

Author: Andrew O'bannon ORCID iD
Author: Prem Kumar
Author: Ronald Rodgers ORCID iD
Author: Anton Pribytok
Author: Adam Chalabi
Author: Jacopo Sisti

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×