4d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gauging
Abstract A class of 4d N = 3 $$ \mathcal{N}=3 $$ SCFTs can be obtained from gauging a discrete subgroup of the global symmetry group of N = 4 $$ \mathcal{N}=4 $$ Super Yang-Mills theory. This discrete subgroup contains elements of both the SU(4) R-symmetry group and the SL(2, ℤ) S-duality group of N...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2018)131 |
| _version_ | 1818693748743208960 |
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| author | Thomas Bourton Alessandro Pini Elli Pomoni |
| author_facet | Thomas Bourton Alessandro Pini Elli Pomoni |
| author_sort | Thomas Bourton |
| collection | DOAJ |
| description | Abstract A class of 4d N = 3 $$ \mathcal{N}=3 $$ SCFTs can be obtained from gauging a discrete subgroup of the global symmetry group of N = 4 $$ \mathcal{N}=4 $$ Super Yang-Mills theory. This discrete subgroup contains elements of both the SU(4) R-symmetry group and the SL(2, ℤ) S-duality group of N = 4 $$ \mathcal{N}=4 $$ SYM. We give a prescription for how to perform the discrete gauging at the level of the superconformal index and Higgs branch Hilbert series. We interpret and match the information encoded in these indices to known results for rank one N = 3 $$ \mathcal{N}=3 $$ theories. Our prescription is easily generalised for the Coulomb branch and the Higgs branch indices of higher rank theories, allowing us to make new predictions for these theories. Most strikingly we find that the Coulomb branches of higher rank theories are generically not-freely generated. |
| first_indexed | 2024-12-17T13:18:37Z |
| format | Article |
| id | doaj.art-397bf7bb29c1470aa1c1a9b719144a1d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T13:18:37Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-397bf7bb29c1470aa1c1a9b719144a1d2022-12-21T21:46:56ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181013410.1007/JHEP10(2018)1314d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gaugingThomas Bourton0Alessandro Pini1Elli Pomoni2DESY Theory GroupDESY Theory GroupDESY Theory GroupAbstract A class of 4d N = 3 $$ \mathcal{N}=3 $$ SCFTs can be obtained from gauging a discrete subgroup of the global symmetry group of N = 4 $$ \mathcal{N}=4 $$ Super Yang-Mills theory. This discrete subgroup contains elements of both the SU(4) R-symmetry group and the SL(2, ℤ) S-duality group of N = 4 $$ \mathcal{N}=4 $$ SYM. We give a prescription for how to perform the discrete gauging at the level of the superconformal index and Higgs branch Hilbert series. We interpret and match the information encoded in these indices to known results for rank one N = 3 $$ \mathcal{N}=3 $$ theories. Our prescription is easily generalised for the Coulomb branch and the Higgs branch indices of higher rank theories, allowing us to make new predictions for these theories. Most strikingly we find that the Coulomb branches of higher rank theories are generically not-freely generated.http://link.springer.com/article/10.1007/JHEP10(2018)131Discrete SymmetriesExtended SupersymmetrySupersymmetric Gauge TheoryGlobal Symmetries |
| spellingShingle | Thomas Bourton Alessandro Pini Elli Pomoni 4d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gauging Journal of High Energy Physics Discrete Symmetries Extended Supersymmetry Supersymmetric Gauge Theory Global Symmetries |
| title | 4d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gauging |
| title_full | 4d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gauging |
| title_fullStr | 4d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gauging |
| title_full_unstemmed | 4d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gauging |
| title_short | 4d N = 3 $$ \mathcal{N}=3 $$ indices via discrete gauging |
| title_sort | 4d n 3 mathcal n 3 indices via discrete gauging |
| topic | Discrete Symmetries Extended Supersymmetry Supersymmetric Gauge Theory Global Symmetries |
| url | http://link.springer.com/article/10.1007/JHEP10(2018)131 |
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