The Coulomb and Higgs branches of N $$ \mathcal{N} $$ = 1 theories of Class S k $$ {\mathcal{S}}_k $$
Abstract Even though for generic N $$ \mathcal{N} $$ = 1 theories it is not possible to separate distinct branches of supersymmetric vacua, in this paper we study a special class of N $$ \mathcal{N} $$ = 1 SCFTs, these of Class S k $$ {\mathcal{S}}_k $$ for which it is possible to define Coulomb and...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-02-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2021)137 |
| _version_ | 1818329354054139904 |
|---|---|
| author | Thomas Bourton Alessandro Pini Elli Pomoni |
| author_facet | Thomas Bourton Alessandro Pini Elli Pomoni |
| author_sort | Thomas Bourton |
| collection | DOAJ |
| description | Abstract Even though for generic N $$ \mathcal{N} $$ = 1 theories it is not possible to separate distinct branches of supersymmetric vacua, in this paper we study a special class of N $$ \mathcal{N} $$ = 1 SCFTs, these of Class S k $$ {\mathcal{S}}_k $$ for which it is possible to define Coulomb and Higgs branches precisely as for the N $$ \mathcal{N} $$ = 2 theories of Class S $$ \mathcal{S} $$ from which they descend. We study the BPS operators that parameterise these branches of vacua using the different limits of the superconformal index as well as the Coulomb and Higgs branch Hilbert Series. Finally, with the tools we have developed, we provide a check that six dimensional (1, 1) Little String theory can be deconstructed from a toroidal quiver in Class S k $$ {\mathcal{S}}_k $$ . |
| first_indexed | 2024-12-13T12:46:43Z |
| format | Article |
| id | doaj.art-143c1d25ceb44249832a677e03addbd4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T12:46:43Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-143c1d25ceb44249832a677e03addbd42022-12-21T23:45:27ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021216010.1007/JHEP02(2021)137The Coulomb and Higgs branches of N $$ \mathcal{N} $$ = 1 theories of Class S k $$ {\mathcal{S}}_k $$Thomas Bourton0Alessandro Pini1Elli Pomoni2DESY Theory GroupDESY Theory GroupDESY Theory GroupAbstract Even though for generic N $$ \mathcal{N} $$ = 1 theories it is not possible to separate distinct branches of supersymmetric vacua, in this paper we study a special class of N $$ \mathcal{N} $$ = 1 SCFTs, these of Class S k $$ {\mathcal{S}}_k $$ for which it is possible to define Coulomb and Higgs branches precisely as for the N $$ \mathcal{N} $$ = 2 theories of Class S $$ \mathcal{S} $$ from which they descend. We study the BPS operators that parameterise these branches of vacua using the different limits of the superconformal index as well as the Coulomb and Higgs branch Hilbert Series. Finally, with the tools we have developed, we provide a check that six dimensional (1, 1) Little String theory can be deconstructed from a toroidal quiver in Class S k $$ {\mathcal{S}}_k $$ .https://doi.org/10.1007/JHEP02(2021)137Supersymmetric Gauge TheoryDuality in Gauge Field TheoriesGlobal SymmetriesD-branes |
| spellingShingle | Thomas Bourton Alessandro Pini Elli Pomoni The Coulomb and Higgs branches of N $$ \mathcal{N} $$ = 1 theories of Class S k $$ {\mathcal{S}}_k $$ Journal of High Energy Physics Supersymmetric Gauge Theory Duality in Gauge Field Theories Global Symmetries D-branes |
| title | The Coulomb and Higgs branches of N $$ \mathcal{N} $$ = 1 theories of Class S k $$ {\mathcal{S}}_k $$ |
| title_full | The Coulomb and Higgs branches of N $$ \mathcal{N} $$ = 1 theories of Class S k $$ {\mathcal{S}}_k $$ |
| title_fullStr | The Coulomb and Higgs branches of N $$ \mathcal{N} $$ = 1 theories of Class S k $$ {\mathcal{S}}_k $$ |
| title_full_unstemmed | The Coulomb and Higgs branches of N $$ \mathcal{N} $$ = 1 theories of Class S k $$ {\mathcal{S}}_k $$ |
| title_short | The Coulomb and Higgs branches of N $$ \mathcal{N} $$ = 1 theories of Class S k $$ {\mathcal{S}}_k $$ |
| title_sort | coulomb and higgs branches of n mathcal n 1 theories of class s k mathcal s k |
| topic | Supersymmetric Gauge Theory Duality in Gauge Field Theories Global Symmetries D-branes |
| url | https://doi.org/10.1007/JHEP02(2021)137 |
| work_keys_str_mv | AT thomasbourton thecoulombandhiggsbranchesofnmathcaln1theoriesofclassskmathcalsk AT alessandropini thecoulombandhiggsbranchesofnmathcaln1theoriesofclassskmathcalsk AT ellipomoni thecoulombandhiggsbranchesofnmathcaln1theoriesofclassskmathcalsk AT thomasbourton coulombandhiggsbranchesofnmathcaln1theoriesofclassskmathcalsk AT alessandropini coulombandhiggsbranchesofnmathcaln1theoriesofclassskmathcalsk AT ellipomoni coulombandhiggsbranchesofnmathcaln1theoriesofclassskmathcalsk |