N = 3 SCFTs in 4 dimensions and non-simply laced groups
Abstract In this paper we discuss various N = 3 SCFTs in 4 dimensions and in particular those which can be obtained as a discrete gauging of an N = 4 SYM theories with non- simply laced groups. The main goal of the project was to compute the Coulomb branch superconformal index and moduli space Hilbe...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2020)125 |
| _version_ | 1819226651112767488 |
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| author | Mikhail Evtikhiev |
| author_facet | Mikhail Evtikhiev |
| author_sort | Mikhail Evtikhiev |
| collection | DOAJ |
| description | Abstract In this paper we discuss various N = 3 SCFTs in 4 dimensions and in particular those which can be obtained as a discrete gauging of an N = 4 SYM theories with non- simply laced groups. The main goal of the project was to compute the Coulomb branch superconformal index and moduli space Hilbert series for the N = 3 SCFTs that are obtained from gauging a discrete subgroup of the global symmetry group of N = 4 Super Yang-Mills theory. The discrete subgroup contains elements of both SU(4) R-symmetry group and the S-duality group of N = 4 SYM. This computation was done for the simply laced groups (where the S-duality groups is SL(2, ℤ) and Langlands dual of the algebra L g $$ {}^L\mathfrak{g} $$ is simply g $$ \mathfrak{g} $$ ) by Bourton et al. [1], and we extended it to the non-simply laced groups. We also considered the orbifolding groups of the Coulomb branch for the cases when Coulomb branch is relatively simple; in particular, we compared them with the results of Argyres et al. [2], who classified all N ≥ 3 moduli space orbifold geometries at rank 2 and with the results of Bonetti et al. [3], who listed all possible orbifolding groups for the freely generated Coulomb branches of N ≥ 3 SCFTs. Finally, we have considered sporadic complex crystallographic reflection groups with rank greater than 2 and analyzed, which of them can correspond to an N = 3 SCFT with a principal Dirac pairing. |
| first_indexed | 2024-12-23T10:28:52Z |
| format | Article |
| id | doaj.art-1b0bf5a1a6b846b18cf4aff2ed23a73e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T10:28:52Z |
| publishDate | 2020-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1b0bf5a1a6b846b18cf4aff2ed23a73e2022-12-21T17:50:29ZengSpringerOpenJournal of High Energy Physics1029-84792020-06-012020611310.1007/JHEP06(2020)125N = 3 SCFTs in 4 dimensions and non-simply laced groupsMikhail Evtikhiev0Department of Particle Physics and Astrophysics, Weizmann Institute of ScienceAbstract In this paper we discuss various N = 3 SCFTs in 4 dimensions and in particular those which can be obtained as a discrete gauging of an N = 4 SYM theories with non- simply laced groups. The main goal of the project was to compute the Coulomb branch superconformal index and moduli space Hilbert series for the N = 3 SCFTs that are obtained from gauging a discrete subgroup of the global symmetry group of N = 4 Super Yang-Mills theory. The discrete subgroup contains elements of both SU(4) R-symmetry group and the S-duality group of N = 4 SYM. This computation was done for the simply laced groups (where the S-duality groups is SL(2, ℤ) and Langlands dual of the algebra L g $$ {}^L\mathfrak{g} $$ is simply g $$ \mathfrak{g} $$ ) by Bourton et al. [1], and we extended it to the non-simply laced groups. We also considered the orbifolding groups of the Coulomb branch for the cases when Coulomb branch is relatively simple; in particular, we compared them with the results of Argyres et al. [2], who classified all N ≥ 3 moduli space orbifold geometries at rank 2 and with the results of Bonetti et al. [3], who listed all possible orbifolding groups for the freely generated Coulomb branches of N ≥ 3 SCFTs. Finally, we have considered sporadic complex crystallographic reflection groups with rank greater than 2 and analyzed, which of them can correspond to an N = 3 SCFT with a principal Dirac pairing.http://link.springer.com/article/10.1007/JHEP06(2020)125Extended SupersymmetryConformal Field TheorySupersymmetric GaugeTheory |
| spellingShingle | Mikhail Evtikhiev N = 3 SCFTs in 4 dimensions and non-simply laced groups Journal of High Energy Physics Extended Supersymmetry Conformal Field Theory Supersymmetric Gauge Theory |
| title | N = 3 SCFTs in 4 dimensions and non-simply laced groups |
| title_full | N = 3 SCFTs in 4 dimensions and non-simply laced groups |
| title_fullStr | N = 3 SCFTs in 4 dimensions and non-simply laced groups |
| title_full_unstemmed | N = 3 SCFTs in 4 dimensions and non-simply laced groups |
| title_short | N = 3 SCFTs in 4 dimensions and non-simply laced groups |
| title_sort | n 3 scfts in 4 dimensions and non simply laced groups |
| topic | Extended Supersymmetry Conformal Field Theory Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP06(2020)125 |
| work_keys_str_mv | AT mikhailevtikhiev n3scftsin4dimensionsandnonsimplylacedgroups |