Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence
Abstract We provide a proof for the conjectured equality of the generating function of integrated Higgs and Coulomb branch topological operators in 3d N $$ \mathcal{N} $$ ≥ 4 gauge theories and the three sphere partition function deformed by mass or FI parameters. The equality is the result of cohom...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2022)171 |
| _version_ | 1797865857437663232 |
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| author | Luigi Guerrini Silvia Penati Itamar Yaakov |
| author_facet | Luigi Guerrini Silvia Penati Itamar Yaakov |
| author_sort | Luigi Guerrini |
| collection | DOAJ |
| description | Abstract We provide a proof for the conjectured equality of the generating function of integrated Higgs and Coulomb branch topological operators in 3d N $$ \mathcal{N} $$ ≥ 4 gauge theories and the three sphere partition function deformed by mass or FI parameters. The equality is the result of cohomological equivalence and applies to all theories in this class, including ABJM and other generalized Gaiotto-Witten models, and those without an explicit supersymmetric Lagrangian. |
| first_indexed | 2024-04-09T23:14:47Z |
| format | Article |
| id | doaj.art-ffee48c3c4134e339e746f3f7ad2652c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:14:47Z |
| publishDate | 2022-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ffee48c3c4134e339e746f3f7ad2652c2023-03-22T10:09:34ZengSpringerOpenJournal of High Energy Physics1029-84792022-04-012022411810.1007/JHEP04(2022)171Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalenceLuigi Guerrini0Silvia Penati1Itamar Yaakov2Dipartimento SMFI, Università di Parma and INFN Gruppo Collegato di ParmaDipartimento di Fisica, Università degli studi di Milano-BicoccaINFN, Sezione di Milano-BicoccaAbstract We provide a proof for the conjectured equality of the generating function of integrated Higgs and Coulomb branch topological operators in 3d N $$ \mathcal{N} $$ ≥ 4 gauge theories and the three sphere partition function deformed by mass or FI parameters. The equality is the result of cohomological equivalence and applies to all theories in this class, including ABJM and other generalized Gaiotto-Witten models, and those without an explicit supersymmetric Lagrangian.https://doi.org/10.1007/JHEP04(2022)171Extended SupersymmetrySupersymmetric Gauge Theory |
| spellingShingle | Luigi Guerrini Silvia Penati Itamar Yaakov Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence Journal of High Energy Physics Extended Supersymmetry Supersymmetric Gauge Theory |
| title | Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence |
| title_full | Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence |
| title_fullStr | Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence |
| title_full_unstemmed | Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence |
| title_short | Generating functions for Higgs/Coulomb branch operators from 1d–3d cohomological equivalence |
| title_sort | generating functions for higgs coulomb branch operators from 1d 3d cohomological equivalence |
| topic | Extended Supersymmetry Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP04(2022)171 |
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