Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers

Akhond, Mohammad; Legramandi, Andrea; Nunez, Carlos

doi:10.1007/jhep11(2021)205

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Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers

Mohammad Akhond, Andrea Legramandi, Carlos Nunez

Journal of High Energy Physics, Volume: 2021, Issue: 11

Swansea University Authors: Mohammad Akhond, Andrea Legramandi, Carlos Nunez

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DOI (Published version): 10.1007/jhep11(2021)205

Abstract

We present the holographic dual for the strongly coupled, low energy dynamics of balanced N = 4 field theories in (2 + 1) dimensions. The infinite family of Type IIB backgrounds with AdS4 × S2 × S2 factors is described in terms of a Laplace problem with suitable boundary conditions. The system descr...

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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/cronfa58847
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first_indexed	2021-11-29T13:12:45Z
last_indexed	2021-12-02T04:16:40Z
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spelling	2021-12-01T16:09:52.4857569 v2 58847 2021-11-29 Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers e37a26a0149ba4e7b3e5fd068e44aae1 Mohammad Akhond Mohammad Akhond true false 4cfd9e6d370d95652ab4208b6b83607e Andrea Legramandi Andrea Legramandi true false c0d6540c37ad4b0a5934d3978048fb2a 0000-0002-1958-9551 Carlos Nunez Carlos Nunez true false 2021-11-29 SPH We present the holographic dual for the strongly coupled, low energy dynamics of balanced N = 4 field theories in (2 + 1) dimensions. The infinite family of Type IIB backgrounds with AdS4 × S2 × S2 factors is described in terms of a Laplace problem with suitable boundary conditions. The system describes an array of D3, NS5 and D5 branes. We study various aspects of these Hanany-Witten set-ups (number of branes, linking numbers, dimension of the Higgs and Coulomb branches) and encode them in holographic calculations. A generic expression for the Free Energy/Holographic Central Charge is derived. These quantities are then calculated explicitly in various general examples. We also discuss how Mirror Symmetry is encoded in our Type IIB backgrounds. The connection with previous results in the bibliography is made. Journal Article Journal of High Energy Physics 2021 11 Springer Science and Business Media LLC 1029-8479 AdS-CFT Correspondence; Brane Dynamics in Gauge Theories; Duality in Gauge Field Theories 26 11 2021 2021-11-26 10.1007/jhep11(2021)205 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University Not Required STFC ST/T000813/1 2021-12-01T16:09:52.4857569 2021-11-29T13:10:24.3279424 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Mohammad Akhond 1 Andrea Legramandi 2 Carlos Nunez 0000-0002-1958-9551 3 58847__21764__d69944c700074093aec85513c54ffd72.pdf 58847.pdf 2021-12-01T16:08:24.0045622 Output 553560 application/pdf Version of Record true This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) true eng http://creativecommons.org/licenses/by/4.0/
title	Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers
spellingShingle	Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers Mohammad Akhond Andrea Legramandi Carlos Nunez
title_short	Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers
title_full	Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers
title_fullStr	Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers
title_full_unstemmed	Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers
title_sort	Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers
author_id_str_mv	e37a26a0149ba4e7b3e5fd068e44aae1 4cfd9e6d370d95652ab4208b6b83607e c0d6540c37ad4b0a5934d3978048fb2a
author_id_fullname_str_mv	e37a26a0149ba4e7b3e5fd068e44aae1_*_Mohammad Akhond 4cfd9e6d370d95652ab4208b6b83607e__Andrea Legramandi c0d6540c37ad4b0a5934d3978048fb2a_**_Carlos Nunez
author	Mohammad Akhond Andrea Legramandi Carlos Nunez
author2	Mohammad Akhond Andrea Legramandi Carlos Nunez
format	Journal article
container_title	Journal of High Energy Physics
container_volume	2021
container_issue	11
publishDate	2021
institution	Swansea University
issn	1029-8479
doi_str_mv	10.1007/jhep11(2021)205
publisher	Springer Science and Business Media LLC
college_str	Faculty of Science and Engineering
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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
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description	We present the holographic dual for the strongly coupled, low energy dynamics of balanced N = 4 field theories in (2 + 1) dimensions. The infinite family of Type IIB backgrounds with AdS4 × S2 × S2 factors is described in terms of a Laplace problem with suitable boundary conditions. The system describes an array of D3, NS5 and D5 branes. We study various aspects of these Hanany-Witten set-ups (number of branes, linking numbers, dimension of the Higgs and Coulomb branches) and encode them in holographic calculations. A generic expression for the Free Energy/Holographic Central Charge is derived. These quantities are then calculated explicitly in various general examples. We also discuss how Mirror Symmetry is encoded in our Type IIB backgrounds. The connection with previous results in the bibliography is made.
published_date	2021-11-26T04:15:42Z
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score	11.013148

Electrostatic description of 3d $$ \mathcal{N} $$ = 4 linear quivers

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