We develop a classification of minimally unbalanced 3d $$ \mathcal{N}=4 $$ 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 $$ \mathcal{N}=4 $$ 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 $$ \mathcal{N}=1 $$ SQCD with gauge group SU(N c ) and 6d $$ \mathcal{N}=\left(1,0\right) $$ SQCD with gauge group Sp(N c) at the respective UV fixed points.
{ "_oai": { "updated": "2019-07-24T16:42:06Z", "id": "oai:repo.scoap3.org:45957", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "UK", "value": "Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom", "organization": "Imperial College London" } ], "surname": "Cabrera", "email": "santiago.cabrera13@imperial.ac.uk", "full_name": "Cabrera, Santiago", "given_names": "Santiago" }, { "affiliations": [ { "country": "UK", "value": "Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom", "organization": "Imperial College London" } ], "surname": "Hanany", "email": "a.hanany@imperial.ac.uk", "full_name": "Hanany, Amihay", "given_names": "Amihay" }, { "affiliations": [ { "country": "UK", "value": "Theoretical Physics, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, United Kingdom", "organization": "Imperial College London" } ], "surname": "Zajac", "email": "anton.zajac@imperial.ac.uk", "full_name": "Zajac, Anton", "given_names": "Anton" } ], "titles": [ { "source": "Springer", "title": "Minimally unbalanced quivers" } ], "dois": [ { "value": "10.1007/JHEP02(2019)180" } ], "publication_info": [ { "page_end": "53", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2019", "artid": "JHEP022019180", "year": 2019, "page_start": "1", "journal_issue": "2" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2019-07-24T17:40:58.089311", "source": "Springer", "method": "Springer", "submission_number": "e65802daae2711e98f2d02163e01809a" }, "page_nr": [ 53 ], "license": [ { "url": "https://creativecommons.org/licenses/by/3.0", "license": "CC-BY-3.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2019" } ], "control_number": "45957", "record_creation_date": "2019-02-28T13:30:38.624925", "_files": [ { "checksum": "md5:c53c8bdcb439d1a80770508f73e8e6bb", "filetype": "xml", "bucket": "58372bf7-7be8-42d8-a210-928ef987db58", "version_id": "96f590de-a671-4d25-8c8b-486f21f63826", "key": "10.1007/JHEP02(2019)180.xml", "size": 12684 }, { "checksum": "md5:6ca3e2f3b816f7ad354f60d79c7b5a34", "filetype": "pdf/a", "bucket": "58372bf7-7be8-42d8-a210-928ef987db58", "version_id": "00c1428b-4396-4ad4-b83c-e41d57d2b59a", "key": "10.1007/JHEP02(2019)180_a.pdf", "size": 631315 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "1810.01495v2" } ], "abstracts": [ { "source": "Springer", "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." } ], "imprints": [ { "date": "2019-05-07", "publisher": "Springer" } ] }