Twisted circle compactifcation of N = 4 SYM and its holographic dual

Kumar, Prem; Stuardo, Ricardo

doi:10.1007/jhep08(2024)089

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Twisted circle compactifcation of N = 4 SYM and its holographic dual

Prem Kumar

, Ricardo Stuardo

Journal of High Energy Physics, Volume: 2024, Issue: 8

Swansea University Authors: Prem Kumar , Ricardo Stuardo

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DOI (Published version): 10.1007/jhep08(2024)089

Abstract

We consider a compactification of 4D {\cal N} = 4 SYM, with SU(N) gauge group, on a circle with anti-periodic boundary conditions for the fermions. We couple the theory to a constant background gauge field along the circle for an abelian subgroup of the R-symmetry which allows to preserve four super...

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Published in:	Journal of High Energy Physics
ISSN:	1029-8479
Published:	Springer Science and Business Media LLC 2024
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URI:	https://cronfa.swan.ac.uk/Record/cronfa67378
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spelling	v2 67378 2024-08-14 Twisted circle compactifcation of N = 4 SYM and its holographic dual 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false ae02364a5ce74dd3eea02a6f188b6684 Ricardo Stuardo Ricardo Stuardo true false 2024-08-14 BGPS We consider a compactification of 4D {\cal N} = 4 SYM, with SU(N) gauge group, on a circle with anti-periodic boundary conditions for the fermions. We couple the theory to a constant background gauge field along the circle for an abelian subgroup of the R-symmetry which allows to preserve four supersymmetries. The 3D effective theory exhibits gapped and ungapped phases, which we argue are holographically dual, respectively, to a supersymmetric soliton in AdS_5 × S^5, and a particular quotient of AdS_5 × S^5. The gapped phase corresponds to an IR 3D {\cal N} = 2 supersymmetric Yang-Mills-Chern-Simons theory at level N, while the ungapped phase is naturally identified with the root of a Higgs branch in the 3D theory. We discuss the extension of the twisting procedure to maximally SUSY Yang-Mills theories in different dimensions, obtaining the relevant duals for 2D and 6D, and comment on the odd dimensional cases. Journal Article Journal of High Energy Physics 2024 8 Springer Science and Business Media LLC 1029-8479 AdS-CFT Correspondence; Confinement; Gauge-Gravity Correspondence; Supersymmetric Gauge Theory 12 8 2024 2024-08-12 10.1007/jhep08(2024)089 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Not Required We are grateful to Luigi Tizzano for enlightening discussions and drawing our attention to the work of [22]. We would also like to thank Andrés Anabalón, Mohammad Akhond, Adi Armoni, Nikolay Bobev, Dimitrios Chatzis, Lewis T. Cole, Jeremy Echeverria Puentes, Ali Fatemiabhari, Timothy J. Hollowood, Carlos Nunez, Marcelo Oyarzo, Neil Talwar, Daniel C. Thompson, Peter Weck and Marcel I. Yáñez Reyes for various discussions and for sharing with us their ideas and knowledge. SPK is supported by STFC Consolidated Grant No. ST/X000648/1. RS acknowledges support from STFC grant ST/W507878/1. 2024-09-20T16:12:13.2970072 2024-08-14T11:44:08.1467866 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Prem Kumar 0000-0003-0867-4213 1 Ricardo Stuardo 2 67378__31424__c82f9da7af1244cbbfad8efcd4117152.pdf 67378.VoR.pdf 2024-09-20T16:10:43.4516234 Output 421795 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	Twisted circle compactifcation of N = 4 SYM and its holographic dual
spellingShingle	Twisted circle compactifcation of N = 4 SYM and its holographic dual Prem Kumar Ricardo Stuardo
title_short	Twisted circle compactifcation of N = 4 SYM and its holographic dual
title_full	Twisted circle compactifcation of N = 4 SYM and its holographic dual
title_fullStr	Twisted circle compactifcation of N = 4 SYM and its holographic dual
title_full_unstemmed	Twisted circle compactifcation of N = 4 SYM and its holographic dual
title_sort	Twisted circle compactifcation of N = 4 SYM and its holographic dual
author_id_str_mv	087fd097167d724ce1b13cb285741ef5 ae02364a5ce74dd3eea02a6f188b6684
author_id_fullname_str_mv	087fd097167d724ce1b13cb285741ef5_*_Prem Kumar ae02364a5ce74dd3eea02a6f188b6684_*_Ricardo Stuardo
author	Prem Kumar Ricardo Stuardo
author2	Prem Kumar Ricardo Stuardo
format	Journal article
container_title	Journal of High Energy Physics
container_volume	2024
container_issue	8
publishDate	2024
institution	Swansea University
issn	1029-8479
doi_str_mv	10.1007/jhep08(2024)089
publisher	Springer Science and Business Media LLC
college_str	Faculty of Science and Engineering
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description	We consider a compactification of 4D {\cal N} = 4 SYM, with SU(N) gauge group, on a circle with anti-periodic boundary conditions for the fermions. We couple the theory to a constant background gauge field along the circle for an abelian subgroup of the R-symmetry which allows to preserve four supersymmetries. The 3D effective theory exhibits gapped and ungapped phases, which we argue are holographically dual, respectively, to a supersymmetric soliton in AdS_5 × S^5, and a particular quotient of AdS_5 × S^5. The gapped phase corresponds to an IR 3D {\cal N} = 2 supersymmetric Yang-Mills-Chern-Simons theory at level N, while the ungapped phase is naturally identified with the root of a Higgs branch in the 3D theory. We discuss the extension of the twisting procedure to maximally SUSY Yang-Mills theories in different dimensions, obtaining the relevant duals for 2D and 6D, and comment on the odd dimensional cases.
published_date	2024-08-12T16:12:11Z
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score	11.037056

Twisted circle compactifcation of N = 4 SYM and its holographic dual

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