On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions
Abstract We introduce a class of 3d theories consisting of strongly-coupled N $$ \mathcal{N} $$ = 4 systems coupled to N $$ \mathcal{N} $$ = 3 Chern-Simons gauge multiplets, which exhibit N $$ \mathcal{N} $$ = 4 enhancements when a peculiar condition on the Chern-Simons levels is met. An example is...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)170 |
| _version_ | 1797795948185780224 |
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| author | Benjamin Assel Yuji Tachikawa Alessandro Tomasiello |
| author_facet | Benjamin Assel Yuji Tachikawa Alessandro Tomasiello |
| author_sort | Benjamin Assel |
| collection | DOAJ |
| description | Abstract We introduce a class of 3d theories consisting of strongly-coupled N $$ \mathcal{N} $$ = 4 systems coupled to N $$ \mathcal{N} $$ = 3 Chern-Simons gauge multiplets, which exhibit N $$ \mathcal{N} $$ = 4 enhancements when a peculiar condition on the Chern-Simons levels is met. An example is the SU(N)3 Chern-Simons theory coupled to the 3d T N theory, which enhances to N $$ \mathcal{N} $$ = 4 when 1/k 1 + 1/k 2 + 1/k 3 = 0. We also show that some but not all of these N $$ \mathcal{N} $$ = 4 enhancements can be understood by considering M5-branes on a special class of Seifert manifolds. Our construction provides a large class of N $$ \mathcal{N} $$ = 4 theories which have not been studied previously. |
| first_indexed | 2024-03-13T03:25:44Z |
| format | Article |
| id | doaj.art-e6f1638dffb24e42b2721cc5891b771d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:44Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e6f1638dffb24e42b2721cc5891b771d2023-06-25T11:04:50ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023314210.1007/JHEP03(2023)170On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensionsBenjamin AsselYuji Tachikawa0Alessandro Tomasiello1Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of TokyoDipartimento di Matematica, Università di Milano-Bicocca, and INFN, sezione di Milano-BicoccaAbstract We introduce a class of 3d theories consisting of strongly-coupled N $$ \mathcal{N} $$ = 4 systems coupled to N $$ \mathcal{N} $$ = 3 Chern-Simons gauge multiplets, which exhibit N $$ \mathcal{N} $$ = 4 enhancements when a peculiar condition on the Chern-Simons levels is met. An example is the SU(N)3 Chern-Simons theory coupled to the 3d T N theory, which enhances to N $$ \mathcal{N} $$ = 4 when 1/k 1 + 1/k 2 + 1/k 3 = 0. We also show that some but not all of these N $$ \mathcal{N} $$ = 4 enhancements can be understood by considering M5-branes on a special class of Seifert manifolds. Our construction provides a large class of N $$ \mathcal{N} $$ = 4 theories which have not been studied previously.https://doi.org/10.1007/JHEP03(2023)170Chern-Simons TheoriesExtended SupersymmetryString DualitySupersymmetry and Duality |
| spellingShingle | Benjamin Assel Yuji Tachikawa Alessandro Tomasiello On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions Journal of High Energy Physics Chern-Simons Theories Extended Supersymmetry String Duality Supersymmetry and Duality |
| title | On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions |
| title_full | On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions |
| title_fullStr | On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions |
| title_full_unstemmed | On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions |
| title_short | On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions |
| title_sort | on n mathcal n 4 supersymmetry enhancements in three dimensions |
| topic | Chern-Simons Theories Extended Supersymmetry String Duality Supersymmetry and Duality |
| url | https://doi.org/10.1007/JHEP03(2023)170 |
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