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An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills

Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2004, Issue: 12, Pages: 034 - 034

Swansea University Authors: Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2004/12/034

Abstract

We study relevant deformations of an N = 1 superconformal theory which is an exactly marginal deformation of U(N) N = 4 SUSY Yang-Mills. The resulting theory has a classical Higgs branch that is a complex deformation of the orbifold C3/Zn × Zn that is a non-compact Calabi-Yau space with isolated con...

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Published in: Journal of High Energy Physics
Published: 2004
URI: https://cronfa.swan.ac.uk/Record/cronfa16146
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spelling 2020-07-16T14:41:50.8318302 v2 16146 2013-09-20 An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2013-09-20 SPH We study relevant deformations of an N = 1 superconformal theory which is an exactly marginal deformation of U(N) N = 4 SUSY Yang-Mills. The resulting theory has a classical Higgs branch that is a complex deformation of the orbifold C3/Zn × Zn that is a non-compact Calabi-Yau space with isolated conifold singularities. At these singular points in moduli space the theory exhibits a duality cascade and flows to a confining theory with a mass gap. By exactly solving the corre- sponding holomorphic matrix model we compute the exact quantum superpotential generated at the end of the duality cascade and calculate precisely how quantum effects deform the classical moduli space by replacing the conifold singularities with three-cycles of finite size. Locally the structure is that of the deformed conifold, but the global geometry is different. This desingularized quantum deformed geometry is the moduli space of probe D3-branes at the end of a duality cascade realized on the worldvolume of (fractional) D3-branes placed at the isolated conifold singularities in the deformation of the orbifold C3/Zn × Zn with discrete torsion. Journal Article Journal of High Energy Physics 2004 12 034 034 31 12 2004 2004-12-31 10.1088/1126-6708/2004/12/034 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:41:50.8318302 2013-09-20T11:23:52.4313313 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Timothy Hollowood 0000-0002-3258-320X 1 Prem Kumar 0000-0003-0867-4213 2
title An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills
spellingShingle An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills
Timothy Hollowood
Prem Kumar
title_short An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills
title_full An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills
title_fullStr An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills
title_full_unstemmed An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills
title_sort An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Timothy Hollowood
Prem Kumar
author2 Timothy Hollowood
Prem Kumar
format Journal article
container_title Journal of High Energy Physics
container_volume 2004
container_issue 12
container_start_page 034
publishDate 2004
institution Swansea University
doi_str_mv 10.1088/1126-6708/2004/12/034
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 0
active_str 0
description We study relevant deformations of an N = 1 superconformal theory which is an exactly marginal deformation of U(N) N = 4 SUSY Yang-Mills. The resulting theory has a classical Higgs branch that is a complex deformation of the orbifold C3/Zn × Zn that is a non-compact Calabi-Yau space with isolated conifold singularities. At these singular points in moduli space the theory exhibits a duality cascade and flows to a confining theory with a mass gap. By exactly solving the corre- sponding holomorphic matrix model we compute the exact quantum superpotential generated at the end of the duality cascade and calculate precisely how quantum effects deform the classical moduli space by replacing the conifold singularities with three-cycles of finite size. Locally the structure is that of the deformed conifold, but the global geometry is different. This desingularized quantum deformed geometry is the moduli space of probe D3-branes at the end of a duality cascade realized on the worldvolume of (fractional) D3-branes placed at the isolated conifold singularities in the deformation of the orbifold C3/Zn × Zn with discrete torsion.
published_date 2004-12-31T03:18:27Z
_version_ 1763750453229649920
score 11.036706

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