Sequential deconfinement and self-dualities in 4d N $$ \mathcal{N} $$ = 1 gauge theories
Abstract We apply the technique of sequential deconfinement to the four dimensional N $$ \mathcal{N} $$ = 1 U sp(2N) gauge theory with an antisymmetric field and 2F fundamentals. The fully deconfined frame is a length-N quiver. We use this deconfined frame to prove the known self-duality of U sp(2N)...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2022)007 |
| _version_ | 1797996055201054720 |
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| author | Stephane Bajeot Sergio Benvenuti |
| author_facet | Stephane Bajeot Sergio Benvenuti |
| author_sort | Stephane Bajeot |
| collection | DOAJ |
| description | Abstract We apply the technique of sequential deconfinement to the four dimensional N $$ \mathcal{N} $$ = 1 U sp(2N) gauge theory with an antisymmetric field and 2F fundamentals. The fully deconfined frame is a length-N quiver. We use this deconfined frame to prove the known self-duality of U sp(2N) with an antisymmetric field and 8 fundamentals. Along the way we encounter a subtlety: in certain quivers with degenerate holomorphic operators, a naive application of Seiberg duality rules leads to an incorrect superpotential or chiral ring. We also consider the reduction to 3d N $$ \mathcal{N} $$ = 2 theories, recovering known fully deconfined duals of U sp(2N) and U(N) gauge theories, and obtaining new ones. |
| first_indexed | 2024-04-11T10:11:23Z |
| format | Article |
| id | doaj.art-179558f9a52048ac9f33397c899b4b79 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T10:11:23Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-179558f9a52048ac9f33397c899b4b792022-12-22T04:30:06ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221013310.1007/JHEP10(2022)007Sequential deconfinement and self-dualities in 4d N $$ \mathcal{N} $$ = 1 gauge theoriesStephane Bajeot0Sergio Benvenuti1SISSAINFN, Sezione di TriesteAbstract We apply the technique of sequential deconfinement to the four dimensional N $$ \mathcal{N} $$ = 1 U sp(2N) gauge theory with an antisymmetric field and 2F fundamentals. The fully deconfined frame is a length-N quiver. We use this deconfined frame to prove the known self-duality of U sp(2N) with an antisymmetric field and 8 fundamentals. Along the way we encounter a subtlety: in certain quivers with degenerate holomorphic operators, a naive application of Seiberg duality rules leads to an incorrect superpotential or chiral ring. We also consider the reduction to 3d N $$ \mathcal{N} $$ = 2 theories, recovering known fully deconfined duals of U sp(2N) and U(N) gauge theories, and obtaining new ones.https://doi.org/10.1007/JHEP10(2022)007Supersymmetric Gauge TheorySupersymmetry and DualityField Theories in Lower Dimensions |
| spellingShingle | Stephane Bajeot Sergio Benvenuti Sequential deconfinement and self-dualities in 4d N $$ \mathcal{N} $$ = 1 gauge theories Journal of High Energy Physics Supersymmetric Gauge Theory Supersymmetry and Duality Field Theories in Lower Dimensions |
| title | Sequential deconfinement and self-dualities in 4d N $$ \mathcal{N} $$ = 1 gauge theories |
| title_full | Sequential deconfinement and self-dualities in 4d N $$ \mathcal{N} $$ = 1 gauge theories |
| title_fullStr | Sequential deconfinement and self-dualities in 4d N $$ \mathcal{N} $$ = 1 gauge theories |
| title_full_unstemmed | Sequential deconfinement and self-dualities in 4d N $$ \mathcal{N} $$ = 1 gauge theories |
| title_short | Sequential deconfinement and self-dualities in 4d N $$ \mathcal{N} $$ = 1 gauge theories |
| title_sort | sequential deconfinement and self dualities in 4d n mathcal n 1 gauge theories |
| topic | Supersymmetric Gauge Theory Supersymmetry and Duality Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP10(2022)007 |
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