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Holographic entanglement entropy of the Coulomb branch

Adam Chalabi, Prem Kumar Orcid Logo, Andy O’Bannon, Anton Pribytok, Ronnie Rodgers, Jacopo Sisti

Journal of High Energy Physics, Volume: 2021, Issue: 4

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1007/jhep04(2021)153

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...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa56387
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first_indexed 2021-03-22T13:10:07Z
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spelling 2022-10-25T13:56:57.3667705 v2 56387 2021-03-09 Holographic entanglement entropy of the Coulomb branch 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2021-03-09 SPH 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 back- reaction. 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. Journal Article Journal of High Energy Physics 2021 4 Springer Science and Business Media LLC 1029-8479 AdS-CFT Correspondence; Conformal Field Theory; Gauge-gravity correspondence; Supersymmetric Gauge Theory 15 4 2021 2021-04-15 10.1007/jhep04(2021)153 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University Another institution paid the OA fee STFC 2022-10-25T13:56:57.3667705 2021-03-09T23:00:34.2244158 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Adam Chalabi 1 Prem Kumar 0000-0003-0867-4213 2 Andy O’Bannon 3 Anton Pribytok 4 Ronnie Rodgers 5 Jacopo Sisti 6 56387__19727__f8113321518e4dca93d6205bd02d8f65.pdf Chalabi2021_Article_HolographicEntanglementEntropy.pdf 2021-04-22T09:56:29.4478105 Output 1549115 application/pdf Version of Record true ©The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) true eng https://creativecommons.org/licenses/by/4.0/
title Holographic entanglement entropy of the Coulomb branch
spellingShingle Holographic entanglement entropy of the Coulomb branch
Prem Kumar
title_short Holographic entanglement entropy of the Coulomb branch
title_full Holographic entanglement entropy of the Coulomb branch
title_fullStr Holographic entanglement entropy of the Coulomb branch
title_full_unstemmed Holographic entanglement entropy of the Coulomb branch
title_sort Holographic entanglement entropy of the Coulomb branch
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Adam Chalabi
Prem Kumar
Andy O’Bannon
Anton Pribytok
Ronnie Rodgers
Jacopo Sisti
format Journal article
container_title Journal of High Energy Physics
container_volume 2021
container_issue 4
publishDate 2021
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep04(2021)153
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description 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 back- reaction. 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.
published_date 2021-04-15T04:11:18Z
_version_ 1763753778059673600
score 11.016235

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