A tale of N cones
Abstract We study particular families of bad 3d N $$ \mathcal{N} $$ = 4 quiver gauge theories, whose Higgs branches consist of many cones. We show the role of a novel brane configuration in realizing the Higgs moduli for each distinct cone. Through brane constructions, magnetic quivers, Hasse diagra...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)073 |
| _version_ | 1827394620579905536 |
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| author | Antoine Bourget Julius F. Grimminger Amihay Hanany Rudolph Kalveks Marcus Sperling Zhenghao Zhong |
| author_facet | Antoine Bourget Julius F. Grimminger Amihay Hanany Rudolph Kalveks Marcus Sperling Zhenghao Zhong |
| author_sort | Antoine Bourget |
| collection | DOAJ |
| description | Abstract We study particular families of bad 3d N $$ \mathcal{N} $$ = 4 quiver gauge theories, whose Higgs branches consist of many cones. We show the role of a novel brane configuration in realizing the Higgs moduli for each distinct cone. Through brane constructions, magnetic quivers, Hasse diagrams, and Hilbert series computations we study the intricate structure of the classical Higgs branches. These Higgs branches are both non-normal (since they consist of multiple cones) and non-reduced (due to the presence of nilpotent operators in the chiral ring). Applying the principle of inversion to the classical Higgs branch Hasse diagrams, we conjecture the quantum Coulomb branch Hasse diagrams. These Coulomb branches have several most singular loci, corresponding to the several cones in the Higgs branch. We propose the Hasse diagrams of the full quantum moduli spaces of our theories. The quivers we study can be taken to be 5d effective gauge theories living on brane webs. Their infinite coupling theories have Higgs branches which also consist of multiple cones. Some of these cones have decorated magnetic quivers, whose 3d Coulomb branches remain elusive. |
| first_indexed | 2024-03-08T18:15:30Z |
| format | Article |
| id | doaj.art-5b2e9b226f4d47348ab3fdd6abe17165 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:15:30Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5b2e9b226f4d47348ab3fdd6abe171652023-12-31T12:09:04ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023915710.1007/JHEP09(2023)073A tale of N conesAntoine Bourget0Julius F. Grimminger1Amihay Hanany2Rudolph Kalveks3Marcus Sperling4Zhenghao Zhong5Université Paris-Saclay, CEA, CNRS, Institut de Physique ThéoriqueTheoretical Physics Group, The Blackett Laboratory, Imperial College LondonTheoretical Physics Group, The Blackett Laboratory, Imperial College LondonTheoretical Physics Group, The Blackett Laboratory, Imperial College LondonShing-Tung Yau Center, Southeast UniversityTheoretical Physics Group, The Blackett Laboratory, Imperial College LondonAbstract We study particular families of bad 3d N $$ \mathcal{N} $$ = 4 quiver gauge theories, whose Higgs branches consist of many cones. We show the role of a novel brane configuration in realizing the Higgs moduli for each distinct cone. Through brane constructions, magnetic quivers, Hasse diagrams, and Hilbert series computations we study the intricate structure of the classical Higgs branches. These Higgs branches are both non-normal (since they consist of multiple cones) and non-reduced (due to the presence of nilpotent operators in the chiral ring). Applying the principle of inversion to the classical Higgs branch Hasse diagrams, we conjecture the quantum Coulomb branch Hasse diagrams. These Coulomb branches have several most singular loci, corresponding to the several cones in the Higgs branch. We propose the Hasse diagrams of the full quantum moduli spaces of our theories. The quivers we study can be taken to be 5d effective gauge theories living on brane webs. Their infinite coupling theories have Higgs branches which also consist of multiple cones. Some of these cones have decorated magnetic quivers, whose 3d Coulomb branches remain elusive.https://doi.org/10.1007/JHEP09(2023)073Brane Dynamics in Gauge TheoriesD-BranesExtended SupersymmetrySupersymmetric Gauge Theory |
| spellingShingle | Antoine Bourget Julius F. Grimminger Amihay Hanany Rudolph Kalveks Marcus Sperling Zhenghao Zhong A tale of N cones Journal of High Energy Physics Brane Dynamics in Gauge Theories D-Branes Extended Supersymmetry Supersymmetric Gauge Theory |
| title | A tale of N cones |
| title_full | A tale of N cones |
| title_fullStr | A tale of N cones |
| title_full_unstemmed | A tale of N cones |
| title_short | A tale of N cones |
| title_sort | tale of n cones |
| topic | Brane Dynamics in Gauge Theories D-Branes Extended Supersymmetry Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP09(2023)073 |
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