Coulomb and Higgs branches from canonical singularities. Part 0
Abstract Five- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively. We study their Coulomb and Higgs branches using crepant resolutions and deformations of the singularities. We p...
| 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)003 |
| _version_ | 1818971140491575296 |
|---|---|
| author | Cyril Closset Sakura Schäfer-Nameki Yi-Nan Wang |
| author_facet | Cyril Closset Sakura Schäfer-Nameki Yi-Nan Wang |
| author_sort | Cyril Closset |
| collection | DOAJ |
| description | Abstract Five- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively. We study their Coulomb and Higgs branches using crepant resolutions and deformations of the singularities. We propose a relation between the resulting moduli spaces, by compactifying the theories to 3d, followed by 3d N $$ \mathcal{N} $$ = 4 mirror symmetry and an S-type gauging of an abelian flavor symmetry. In particular, we use this correspondence to determine the Higgs branch of some 5d SCFTs and their magnetic quivers from the geometry. As an application of the general framework, we observe that singularities that engineer Argyres-Douglas theories in Type IIB also give rise to rank-0 5d SCFTs in M-theory. We also compute the higher-form symmetries of the 4d and 5d SCFTs, including the one-form symmetries of generalized Argyres-Douglas theories of type (G, G′). |
| first_indexed | 2024-12-20T14:47:38Z |
| format | Article |
| id | doaj.art-228c01858bcd49b798da0b971f48e302 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T14:47:38Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-228c01858bcd49b798da0b971f48e3022022-12-21T19:37:04ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021215810.1007/JHEP02(2021)003Coulomb and Higgs branches from canonical singularities. Part 0Cyril Closset0Sakura Schäfer-Nameki1Yi-Nan Wang2Mathematical Institute, University of OxfordMathematical Institute, University of OxfordMathematical Institute, University of OxfordAbstract Five- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively. We study their Coulomb and Higgs branches using crepant resolutions and deformations of the singularities. We propose a relation between the resulting moduli spaces, by compactifying the theories to 3d, followed by 3d N $$ \mathcal{N} $$ = 4 mirror symmetry and an S-type gauging of an abelian flavor symmetry. In particular, we use this correspondence to determine the Higgs branch of some 5d SCFTs and their magnetic quivers from the geometry. As an application of the general framework, we observe that singularities that engineer Argyres-Douglas theories in Type IIB also give rise to rank-0 5d SCFTs in M-theory. We also compute the higher-form symmetries of the 4d and 5d SCFTs, including the one-form symmetries of generalized Argyres-Douglas theories of type (G, G′).https://doi.org/10.1007/JHEP02(2021)003Field Theories in Higher DimensionsSupersymmetric Gauge TheoryM-TheoryString Duality |
| spellingShingle | Cyril Closset Sakura Schäfer-Nameki Yi-Nan Wang Coulomb and Higgs branches from canonical singularities. Part 0 Journal of High Energy Physics Field Theories in Higher Dimensions Supersymmetric Gauge Theory M-Theory String Duality |
| title | Coulomb and Higgs branches from canonical singularities. Part 0 |
| title_full | Coulomb and Higgs branches from canonical singularities. Part 0 |
| title_fullStr | Coulomb and Higgs branches from canonical singularities. Part 0 |
| title_full_unstemmed | Coulomb and Higgs branches from canonical singularities. Part 0 |
| title_short | Coulomb and Higgs branches from canonical singularities. Part 0 |
| title_sort | coulomb and higgs branches from canonical singularities part 0 |
| topic | Field Theories in Higher Dimensions Supersymmetric Gauge Theory M-Theory String Duality |
| url | https://doi.org/10.1007/JHEP02(2021)003 |
| work_keys_str_mv | AT cyrilclosset coulombandhiggsbranchesfromcanonicalsingularitiespart0 AT sakuraschafernameki coulombandhiggsbranchesfromcanonicalsingularitiespart0 AT yinanwang coulombandhiggsbranchesfromcanonicalsingularitiespart0 |