Minimally unbalanced quivers

Abstract We develop a classification of minimally unbalanced 3d N = 4 $$ \mathcal{N}=4 $$ quiver gauge theories. These gauge theories are important because the isometry group G of their Coulomb branch contains a single factor, which is either a classical or an exceptional Lie group. Concurrently, th...

Full description

Bibliographic Details
Main Authors: Santiago Cabrera, Amihay Hanany, Anton Zajac
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP02(2019)180
_version_ 1818037263710289920
author Santiago Cabrera
Amihay Hanany
Anton Zajac
author_facet Santiago Cabrera
Amihay Hanany
Anton Zajac
author_sort Santiago Cabrera
collection DOAJ
description Abstract We develop a classification of minimally unbalanced 3d N = 4 $$ \mathcal{N}=4 $$ quiver gauge theories. These gauge theories are important because the isometry group G of their Coulomb branch contains a single factor, which is either a classical or an exceptional Lie group. Concurrently, this provides a classification of hyperkähler cones with isometry group G which are obtainable by Coulomb branch constructions. HyperKähler cones such as Coulomb branches of 3d N = 4 $$ \mathcal{N}=4 $$ quivers are indispensable tools for describing Higgs branches of different theories in various dimensions. In particular, they are used to describe Higgs branches of 5d N = 1 $$ \mathcal{N}=1 $$ SQCD with gauge group SU(N c ) and 6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ SQCD with gauge group Sp(N c) at the respective UV fixed points.
first_indexed 2024-12-10T07:24:04Z
format Article
id doaj.art-90ac1c5c255e48f0bcb73ac584d1af4d
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-12-10T07:24:04Z
publishDate 2019-02-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-90ac1c5c255e48f0bcb73ac584d1af4d2022-12-22T01:57:44ZengSpringerOpenJournal of High Energy Physics1029-84792019-02-012019215310.1007/JHEP02(2019)180Minimally unbalanced quiversSantiago Cabrera0Amihay Hanany1Anton Zajac2Theoretical Physics, The Blackett Laboratory, Imperial College LondonTheoretical Physics, The Blackett Laboratory, Imperial College LondonTheoretical Physics, The Blackett Laboratory, Imperial College LondonAbstract We develop a classification of minimally unbalanced 3d N = 4 $$ \mathcal{N}=4 $$ quiver gauge theories. These gauge theories are important because the isometry group G of their Coulomb branch contains a single factor, which is either a classical or an exceptional Lie group. Concurrently, this provides a classification of hyperkähler cones with isometry group G which are obtainable by Coulomb branch constructions. HyperKähler cones such as Coulomb branches of 3d N = 4 $$ \mathcal{N}=4 $$ quivers are indispensable tools for describing Higgs branches of different theories in various dimensions. In particular, they are used to describe Higgs branches of 5d N = 1 $$ \mathcal{N}=1 $$ SQCD with gauge group SU(N c ) and 6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ SQCD with gauge group Sp(N c) at the respective UV fixed points.http://link.springer.com/article/10.1007/JHEP02(2019)180Global SymmetriesField Theories in Lower DimensionsSupersymmetric Gauge TheoryConformal Field Theory
spellingShingle Santiago Cabrera
Amihay Hanany
Anton Zajac
Minimally unbalanced quivers
Journal of High Energy Physics
Global Symmetries
Field Theories in Lower Dimensions
Supersymmetric Gauge Theory
Conformal Field Theory
title Minimally unbalanced quivers
title_full Minimally unbalanced quivers
title_fullStr Minimally unbalanced quivers
title_full_unstemmed Minimally unbalanced quivers
title_short Minimally unbalanced quivers
title_sort minimally unbalanced quivers
topic Global Symmetries
Field Theories in Lower Dimensions
Supersymmetric Gauge Theory
Conformal Field Theory
url http://link.springer.com/article/10.1007/JHEP02(2019)180
work_keys_str_mv AT santiagocabrera minimallyunbalancedquivers
AT amihayhanany minimallyunbalancedquivers
AT antonzajac minimallyunbalancedquivers