Exploring Seiberg-like N-alities with eight supercharges
Abstract We show that a large subclass of 3d N $$ \mathcal{N} $$ = 4 quiver gauge theories consisting of unitary and special unitary gauge nodes with only fundamental/bifundamental matter have multiple Seiberg-like IR duals. A generic quiver T $$ \mathcal{T} $$ in this subclass has a non-zero number...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2024)044 |
| _version_ | 1797209549243940864 |
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| author | Anindya Dey |
| author_facet | Anindya Dey |
| author_sort | Anindya Dey |
| collection | DOAJ |
| description | Abstract We show that a large subclass of 3d N $$ \mathcal{N} $$ = 4 quiver gauge theories consisting of unitary and special unitary gauge nodes with only fundamental/bifundamental matter have multiple Seiberg-like IR duals. A generic quiver T $$ \mathcal{T} $$ in this subclass has a non-zero number of balanced special unitary gauge nodes and it is a good theory in the Gaiotto-Witten sense. We refer to this phenomenon as IR N-ality and the set of mutually IR dual theories as the N-al set associated with the quiver T $$ \mathcal{T} $$ . Starting from T $$ \mathcal{T} $$ , we construct a sequence of dualities by step-wise implementing a set of quiver mutations which act locally on the gauge nodes. The associated N-al theories can then be read off from this duality sequence. The quiver T $$ \mathcal{T} $$ generically has an emergent Coulomb branch global symmetry in the IR, such that the rank of the IR symmetry is always greater than the rank visible in the UV. We show that there exists at least one theory in the N-al set for which the rank of the IR symmetry precisely matches the rank of the UV symmetry. In certain special cases that we discuss in this work, the correct emergent symmetry algebra itself may be read off from this preferred theory (or theories) in addition to the correct rank. Finally, we give a recipe for constructing the 3d mirror associated with a given N-al set and show how the emergent Coulomb branch symmetry of T $$ \mathcal{T} $$ is realized as a UV-manifest Higgs branch symmetry of the 3d mirror. This paper is the second in a series of four papers on 3d N $$ \mathcal{N} $$ = 4 Seiberg-like dualities, preceded by the work [1]. |
| first_indexed | 2024-04-24T09:56:28Z |
| format | Article |
| id | doaj.art-3e2bb39872f24e45927af4e0cc3145aa |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T09:56:28Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3e2bb39872f24e45927af4e0cc3145aa2024-04-14T11:06:07ZengSpringerOpenJournal of High Energy Physics1029-84792024-04-012024414810.1007/JHEP04(2024)044Exploring Seiberg-like N-alities with eight superchargesAnindya Dey0Department of Physics and Astronomy, Johns Hopkins UniversityAbstract We show that a large subclass of 3d N $$ \mathcal{N} $$ = 4 quiver gauge theories consisting of unitary and special unitary gauge nodes with only fundamental/bifundamental matter have multiple Seiberg-like IR duals. A generic quiver T $$ \mathcal{T} $$ in this subclass has a non-zero number of balanced special unitary gauge nodes and it is a good theory in the Gaiotto-Witten sense. We refer to this phenomenon as IR N-ality and the set of mutually IR dual theories as the N-al set associated with the quiver T $$ \mathcal{T} $$ . Starting from T $$ \mathcal{T} $$ , we construct a sequence of dualities by step-wise implementing a set of quiver mutations which act locally on the gauge nodes. The associated N-al theories can then be read off from this duality sequence. The quiver T $$ \mathcal{T} $$ generically has an emergent Coulomb branch global symmetry in the IR, such that the rank of the IR symmetry is always greater than the rank visible in the UV. We show that there exists at least one theory in the N-al set for which the rank of the IR symmetry precisely matches the rank of the UV symmetry. In certain special cases that we discuss in this work, the correct emergent symmetry algebra itself may be read off from this preferred theory (or theories) in addition to the correct rank. Finally, we give a recipe for constructing the 3d mirror associated with a given N-al set and show how the emergent Coulomb branch symmetry of T $$ \mathcal{T} $$ is realized as a UV-manifest Higgs branch symmetry of the 3d mirror. This paper is the second in a series of four papers on 3d N $$ \mathcal{N} $$ = 4 Seiberg-like dualities, preceded by the work [1].https://doi.org/10.1007/JHEP04(2024)044Duality in Gauge Field TheoriesExtended SupersymmetrySupersymmetric Gauge TheorySupersymmetry and Duality |
| spellingShingle | Anindya Dey Exploring Seiberg-like N-alities with eight supercharges Journal of High Energy Physics Duality in Gauge Field Theories Extended Supersymmetry Supersymmetric Gauge Theory Supersymmetry and Duality |
| title | Exploring Seiberg-like N-alities with eight supercharges |
| title_full | Exploring Seiberg-like N-alities with eight supercharges |
| title_fullStr | Exploring Seiberg-like N-alities with eight supercharges |
| title_full_unstemmed | Exploring Seiberg-like N-alities with eight supercharges |
| title_short | Exploring Seiberg-like N-alities with eight supercharges |
| title_sort | exploring seiberg like n alities with eight supercharges |
| topic | Duality in Gauge Field Theories Extended Supersymmetry Supersymmetric Gauge Theory Supersymmetry and Duality |
| url | https://doi.org/10.1007/JHEP04(2024)044 |
| work_keys_str_mv | AT anindyadey exploringseiberglikenalitieswitheightsupercharges |