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Sitting on the domain Walls of Script N = 1 super Yang-Mills

Adi Armoni Orcid Logo, Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "07", Issue: 07, Pages: 043 - 043

Swansea University Authors: Adi Armoni Orcid Logo, Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2005/07/043

Abstract

In pure N=1 supersymmetric Yang-Mills with gauge group SU(N), the domain walls which separate the N vacua have been argued, on the basis of string theory realizations, to be D-branes for the confining string. In a certain limit, this means that a configuration of k parallel domain walls is described...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2005
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URI: https://cronfa.swan.ac.uk/Record/cronfa28530
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spelling 2016-06-03T14:36:16.8972683 v2 28530 2016-06-03 Sitting on the domain Walls of Script N = 1 super Yang-Mills 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH In pure N=1 supersymmetric Yang-Mills with gauge group SU(N), the domain walls which separate the N vacua have been argued, on the basis of string theory realizations, to be D-branes for the confining string. In a certain limit, this means that a configuration of k parallel domain walls is described by a 2+1-dimensional U(k) gauge theory. This theory has been identified by Acharya and Vafa as the U(k) gauge theory with 4 supercharges broken by a Chern-Simons term of level N in such a way that 2 supercharges are preserved. We argue further that the gauge coupling of the domain wall gauge theory goes like g^2 ~ Lambda/N, for large N. In the case of two domain walls, we show that the U(2) world-volume theory generates a quadratic potential on the Coulomb branch at two loops in perturbation theory which is consistent with there being a supersymmetric bound state of the two wall system. A mass gap of order Lambda/N is generated around the supersymmetric minimum and we estimate the size of the bound-state to be order Lambda/ \sqrt N. At large distance the potential reaches a constant that can qualitatively account for the binding energy of the two walls even though stringy effects are not, strictly speaking, Journal Article Journal of High Energy Physics "07" 07 043 043 1029-8479 31 5 2005 2005-05-31 10.1088/1126-6708/2005/07/043 http://inspirehep.net/record/683296 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:16.8972683 2016-06-03T14:36:16.6944670 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Adi Armoni 0000-0002-8105-0645 1 Timothy Hollowood 0000-0002-3258-320X 2
title Sitting on the domain Walls of Script N = 1 super Yang-Mills
spellingShingle Sitting on the domain Walls of Script N = 1 super Yang-Mills
Adi Armoni
Timothy Hollowood
title_short Sitting on the domain Walls of Script N = 1 super Yang-Mills
title_full Sitting on the domain Walls of Script N = 1 super Yang-Mills
title_fullStr Sitting on the domain Walls of Script N = 1 super Yang-Mills
title_full_unstemmed Sitting on the domain Walls of Script N = 1 super Yang-Mills
title_sort Sitting on the domain Walls of Script N = 1 super Yang-Mills
author_id_str_mv 3f75faad0563a2d3b191191a2efee956
ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv 3f75faad0563a2d3b191191a2efee956_***_Adi Armoni
ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Adi Armoni
Timothy Hollowood
author2 Adi Armoni
Timothy Hollowood
format Journal article
container_title Journal of High Energy Physics
container_volume "07"
container_issue 07
container_start_page 043
publishDate 2005
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2005/07/043
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
url http://inspirehep.net/record/683296
document_store_str 0
active_str 0
description In pure N=1 supersymmetric Yang-Mills with gauge group SU(N), the domain walls which separate the N vacua have been argued, on the basis of string theory realizations, to be D-branes for the confining string. In a certain limit, this means that a configuration of k parallel domain walls is described by a 2+1-dimensional U(k) gauge theory. This theory has been identified by Acharya and Vafa as the U(k) gauge theory with 4 supercharges broken by a Chern-Simons term of level N in such a way that 2 supercharges are preserved. We argue further that the gauge coupling of the domain wall gauge theory goes like g^2 ~ Lambda/N, for large N. In the case of two domain walls, we show that the U(2) world-volume theory generates a quadratic potential on the Coulomb branch at two loops in perturbation theory which is consistent with there being a supersymmetric bound state of the two wall system. A mass gap of order Lambda/N is generated around the supersymmetric minimum and we estimate the size of the bound-state to be order Lambda/ \sqrt N. At large distance the potential reaches a constant that can qualitatively account for the binding energy of the two walls even though stringy effects are not, strictly speaking,
published_date 2005-05-31T03:34:44Z
_version_ 1763751477077082112
score 11.035349

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