Minimally unbalanced quivers

Santiago Cabrera (Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom) ; Amihay Hanany (Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom) ; Anton Zajac (Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom)

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.

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      "surname": "Hanany", 
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      "full_name": "Hanany, Amihay", 
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      "surname": "Zajac", 
      "email": "anton.zajac@imperial.ac.uk", 
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      "value": "We develop a classification of minimally unbalanced 3d   <math> <mi>N</mi> <mo>=</mo> <mn>4</mn> </math>  $$ \\mathcal{N}=4 $$  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 hyperk\u00e4hler cones with isometry group G which are obtainable by Coulomb branch constructions. HyperK\u00e4hler cones such as Coulomb branches of 3d   <math> <mi>N</mi> <mo>=</mo> <mn>4</mn> </math>  $$ \\mathcal{N}=4 $$  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   <math> <mi>N</mi> <mo>=</mo> <mn>1</mn> </math>  $$ \\mathcal{N}=1 $$  SQCD with gauge group SU(N  c ) and 6d   <math> <mi>N</mi> <mo>=</mo> <mfenced> <mn>1</mn> <mn>0</mn> </mfenced> </math>  $$ \\mathcal{N}=\\left(1,0\\right) $$  SQCD with gauge group Sp(N c) at the respective UV fixed points."
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Published on:
07 May 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2019 (2019)
Issue 2
Pages 1-53
DOI:
https://doi.org/10.1007/JHEP02(2019)180
arXiv:
1810.01495v2
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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