N $$ \mathcal{N} $$ = 5 SCFTs and quaternionic reflection groups
Abstract It was previously noted that for 3d SCFTs with N $$ \mathcal{N} $$ ≥ 6 the moduli space has the form of ℂ4r /Γ, where Γ is a complex reflection group, at least following suitable gauging of finite symmetries. Here we argue that this observation can be extended also to 3d SCFTs with N $$ \ma...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2024)017 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846158914337374208 |
|---|---|
| author | Anirudh Deb Gabi Zafrir |
| author_facet | Anirudh Deb Gabi Zafrir |
| author_sort | Anirudh Deb |
| collection | DOAJ |
| description | Abstract It was previously noted that for 3d SCFTs with N $$ \mathcal{N} $$ ≥ 6 the moduli space has the form of ℂ4r /Γ, where Γ is a complex reflection group, at least following suitable gauging of finite symmetries. Here we argue that this observation can be extended also to 3d SCFTs with N $$ \mathcal{N} $$ ≥ 5 SUSY, where Γ is now a quaternionic reflection group. To do this, we study the moduli space of the known 3d N $$ \mathcal{N} $$ = 5 SCFTs. For Lagrangian cases, the results for the moduli space are further checked using the superconformal index. |
| format | Article |
| id | doaj-art-83c507cd98e54a7fa811a6c76d3afd21 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-83c507cd98e54a7fa811a6c76d3afd212024-11-24T12:04:54ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024815910.1007/JHEP08(2024)017N $$ \mathcal{N} $$ = 5 SCFTs and quaternionic reflection groupsAnirudh Deb0Gabi Zafrir1C.N. Yang Institute for Theoretical Physics, Stony Brook UniversityC.N. Yang Institute for Theoretical Physics, Stony Brook UniversityAbstract It was previously noted that for 3d SCFTs with N $$ \mathcal{N} $$ ≥ 6 the moduli space has the form of ℂ4r /Γ, where Γ is a complex reflection group, at least following suitable gauging of finite symmetries. Here we argue that this observation can be extended also to 3d SCFTs with N $$ \mathcal{N} $$ ≥ 5 SUSY, where Γ is now a quaternionic reflection group. To do this, we study the moduli space of the known 3d N $$ \mathcal{N} $$ = 5 SCFTs. For Lagrangian cases, the results for the moduli space are further checked using the superconformal index.https://doi.org/10.1007/JHEP08(2024)017Field Theories in Lower DimensionsSupersymmetric Gauge Theory |
| spellingShingle | Anirudh Deb Gabi Zafrir N $$ \mathcal{N} $$ = 5 SCFTs and quaternionic reflection groups Journal of High Energy Physics Field Theories in Lower Dimensions Supersymmetric Gauge Theory |
| title | N $$ \mathcal{N} $$ = 5 SCFTs and quaternionic reflection groups |
| title_full | N $$ \mathcal{N} $$ = 5 SCFTs and quaternionic reflection groups |
| title_fullStr | N $$ \mathcal{N} $$ = 5 SCFTs and quaternionic reflection groups |
| title_full_unstemmed | N $$ \mathcal{N} $$ = 5 SCFTs and quaternionic reflection groups |
| title_short | N $$ \mathcal{N} $$ = 5 SCFTs and quaternionic reflection groups |
| title_sort | n mathcal n 5 scfts and quaternionic reflection groups |
| topic | Field Theories in Lower Dimensions Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP08(2024)017 |
| work_keys_str_mv | AT anirudhdeb nmathcaln5scftsandquaternionicreflectiongroups AT gabizafrir nmathcaln5scftsandquaternionicreflectiongroups |