Tests of Seiberg-like dualities in three dimensions
Abstract We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition functions of dual theories deformed by real mass terms and FI parameters. We find that Seiberg-like duality for N...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2020)114 |
| _version_ | 1818658535146258432 |
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| author | Anton Kapustin Brian Willett Itamar Yaakov |
| author_facet | Anton Kapustin Brian Willett Itamar Yaakov |
| author_sort | Anton Kapustin |
| collection | DOAJ |
| description | Abstract We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition functions of dual theories deformed by real mass terms and FI parameters. We find that Seiberg-like duality for N $$ \mathcal{N} $$ = 3 Chern-Simons gauge theories proposed by Giveon and Kutasov holds on the level of partition functions and is closely related to level-rank duality in pure Chern-Simons theory. We also clarify the relationship between the Giveon-Kutasov duality and a duality in theories of fractional M2 branes and propose a generalization of the latter. Our analysis also confirms previously known results concerning decoupled free sectors in N $$ \mathcal{N} $$ = 4 gauge theories realized by monopole operators. |
| first_indexed | 2024-12-17T03:58:55Z |
| format | Article |
| id | doaj.art-626bff44ebd94741b6b560411d2d497a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T03:58:55Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-626bff44ebd94741b6b560411d2d497a2022-12-21T22:04:34ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020813510.1007/JHEP08(2020)114Tests of Seiberg-like dualities in three dimensionsAnton Kapustin0Brian Willett1Itamar Yaakov2California Institute of TechnologyKavli Institute for Theoretical Physics, University of CaliforniaINFN — Sezione di Milano Bicocca, Dipartimento di FisicaAbstract We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition functions of dual theories deformed by real mass terms and FI parameters. We find that Seiberg-like duality for N $$ \mathcal{N} $$ = 3 Chern-Simons gauge theories proposed by Giveon and Kutasov holds on the level of partition functions and is closely related to level-rank duality in pure Chern-Simons theory. We also clarify the relationship between the Giveon-Kutasov duality and a duality in theories of fractional M2 branes and propose a generalization of the latter. Our analysis also confirms previously known results concerning decoupled free sectors in N $$ \mathcal{N} $$ = 4 gauge theories realized by monopole operators.http://link.springer.com/article/10.1007/JHEP08(2020)114Conformal Field TheoryDuality in Gauge Field TheoriesExtended Super-symmetrySupersymmetric Gauge Theory |
| spellingShingle | Anton Kapustin Brian Willett Itamar Yaakov Tests of Seiberg-like dualities in three dimensions Journal of High Energy Physics Conformal Field Theory Duality in Gauge Field Theories Extended Super-symmetry Supersymmetric Gauge Theory |
| title | Tests of Seiberg-like dualities in three dimensions |
| title_full | Tests of Seiberg-like dualities in three dimensions |
| title_fullStr | Tests of Seiberg-like dualities in three dimensions |
| title_full_unstemmed | Tests of Seiberg-like dualities in three dimensions |
| title_short | Tests of Seiberg-like dualities in three dimensions |
| title_sort | tests of seiberg like dualities in three dimensions |
| topic | Conformal Field Theory Duality in Gauge Field Theories Extended Super-symmetry Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP08(2020)114 |
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