Three dimensional canonical singularity and five dimensional N $$ \mathcal{N} $$ = 1 SCFT
Abstract We conjecture that every three dimensional canonical singularity defines a five dimensional N $$ \mathcal{N} $$ = 1 SCFT. Flavor symmetry can be found from singularity structure: non-abelian flavor symmetry is read from the singularity type over one dimensional singular locus. The dimension...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2017)134 |
| _version_ | 1819261260232916992 |
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| author | Dan Xie Shing-Tung Yau |
| author_facet | Dan Xie Shing-Tung Yau |
| author_sort | Dan Xie |
| collection | DOAJ |
| description | Abstract We conjecture that every three dimensional canonical singularity defines a five dimensional N $$ \mathcal{N} $$ = 1 SCFT. Flavor symmetry can be found from singularity structure: non-abelian flavor symmetry is read from the singularity type over one dimensional singular locus. The dimension of Coulomb branch is given by the number of compact crepant divisors from a crepant resolution of singularity. The detailed structure of Coulomb branch is described as follows: a) a chamber of Coulomb branch is described by a crepant resolution, and this chamber is given by its Nef cone and the prepotential is computed from triple intersection numbers; b) Crepant resolution is not unique and different resolutions are related by flops; Nef cones from crepant resolutions form a fan which is claimed to be the full Coulomb branch. |
| first_indexed | 2024-12-23T19:38:58Z |
| format | Article |
| id | doaj.art-a61842d155344604987ab5076a12739c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T19:38:58Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a61842d155344604987ab5076a12739c2022-12-21T17:33:43ZengSpringerOpenJournal of High Energy Physics1029-84792017-06-012017613410.1007/JHEP06(2017)134Three dimensional canonical singularity and five dimensional N $$ \mathcal{N} $$ = 1 SCFTDan Xie0Shing-Tung Yau1Center of Mathematical Sciences and Applications, Harvard UniversityDepartment of Mathematics, Harvard UniversityAbstract We conjecture that every three dimensional canonical singularity defines a five dimensional N $$ \mathcal{N} $$ = 1 SCFT. Flavor symmetry can be found from singularity structure: non-abelian flavor symmetry is read from the singularity type over one dimensional singular locus. The dimension of Coulomb branch is given by the number of compact crepant divisors from a crepant resolution of singularity. The detailed structure of Coulomb branch is described as follows: a) a chamber of Coulomb branch is described by a crepant resolution, and this chamber is given by its Nef cone and the prepotential is computed from triple intersection numbers; b) Crepant resolution is not unique and different resolutions are related by flops; Nef cones from crepant resolutions form a fan which is claimed to be the full Coulomb branch.http://link.springer.com/article/10.1007/JHEP06(2017)134Extended SupersymmetryM-TheorySupersymmetry and Duality |
| spellingShingle | Dan Xie Shing-Tung Yau Three dimensional canonical singularity and five dimensional N $$ \mathcal{N} $$ = 1 SCFT Journal of High Energy Physics Extended Supersymmetry M-Theory Supersymmetry and Duality |
| title | Three dimensional canonical singularity and five dimensional N $$ \mathcal{N} $$ = 1 SCFT |
| title_full | Three dimensional canonical singularity and five dimensional N $$ \mathcal{N} $$ = 1 SCFT |
| title_fullStr | Three dimensional canonical singularity and five dimensional N $$ \mathcal{N} $$ = 1 SCFT |
| title_full_unstemmed | Three dimensional canonical singularity and five dimensional N $$ \mathcal{N} $$ = 1 SCFT |
| title_short | Three dimensional canonical singularity and five dimensional N $$ \mathcal{N} $$ = 1 SCFT |
| title_sort | three dimensional canonical singularity and five dimensional n mathcal n 1 scft |
| topic | Extended Supersymmetry M-Theory Supersymmetry and Duality |
| url | http://link.springer.com/article/10.1007/JHEP06(2017)134 |
| work_keys_str_mv | AT danxie threedimensionalcanonicalsingularityandfivedimensionalnmathcaln1scft AT shingtungyau threedimensionalcanonicalsingularityandfivedimensionalnmathcaln1scft |