Classifying 5d SCFTs via 6d SCFTs: rank one
Abstract Following a recent proposal, we delineate a general procedure to classify 5d SCFTs via compactifications of 6d SCFTs on a circle (possibly with a twist by a discrete global symmetry). The path from 6d SCFTs to 5d SCFTs can be divided into two steps. The first step involves computing the Cou...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2019)178 |
| _version_ | 1818267414910992384 |
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| author | Lakshya Bhardwaj Patrick Jefferson |
| author_facet | Lakshya Bhardwaj Patrick Jefferson |
| author_sort | Lakshya Bhardwaj |
| collection | DOAJ |
| description | Abstract Following a recent proposal, we delineate a general procedure to classify 5d SCFTs via compactifications of 6d SCFTs on a circle (possibly with a twist by a discrete global symmetry). The path from 6d SCFTs to 5d SCFTs can be divided into two steps. The first step involves computing the Coulomb branch data of the 5d KK theory obtained by compactifying a 6d SCFT on a circle of finite radius. The second step involves computing the limit of the KK theory when the inverse radius along with some other mass parameters is sent to infinity. Under this RG flow, the KK theory reduces to a 5d SCFT. We illustrate these ideas in the case of untwisted compactifications of rank one 6d SCFTs that can be constructed in F-theory without frozen singularities. The data of the corresponding KK theory can be packaged in the geometry of a Calabi-Yau threefold that we explicitly compute for every case. The RG flows correspond to flopping a collection of curves in the threefold and we formulate a concrete set of criteria which can be used to determine which collection of curves can induce the relevant RG flows, and, in principle, to determine the Calabi-Yau geometries describing the endpoints of these flows. We also comment on how to generalize our results to arbitrary rank. |
| first_indexed | 2024-12-12T20:22:13Z |
| format | Article |
| id | doaj.art-f431303001804a76a1df590d04b23f23 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T20:22:13Z |
| publishDate | 2019-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f431303001804a76a1df590d04b23f232022-12-22T00:13:15ZengSpringerOpenJournal of High Energy Physics1029-84792019-07-012019714010.1007/JHEP07(2019)178Classifying 5d SCFTs via 6d SCFTs: rank oneLakshya Bhardwaj0Patrick Jefferson1Department of Physics, Harvard UniversityDepartment of Physics, Harvard UniversityAbstract Following a recent proposal, we delineate a general procedure to classify 5d SCFTs via compactifications of 6d SCFTs on a circle (possibly with a twist by a discrete global symmetry). The path from 6d SCFTs to 5d SCFTs can be divided into two steps. The first step involves computing the Coulomb branch data of the 5d KK theory obtained by compactifying a 6d SCFT on a circle of finite radius. The second step involves computing the limit of the KK theory when the inverse radius along with some other mass parameters is sent to infinity. Under this RG flow, the KK theory reduces to a 5d SCFT. We illustrate these ideas in the case of untwisted compactifications of rank one 6d SCFTs that can be constructed in F-theory without frozen singularities. The data of the corresponding KK theory can be packaged in the geometry of a Calabi-Yau threefold that we explicitly compute for every case. The RG flows correspond to flopping a collection of curves in the threefold and we formulate a concrete set of criteria which can be used to determine which collection of curves can induce the relevant RG flows, and, in principle, to determine the Calabi-Yau geometries describing the endpoints of these flows. We also comment on how to generalize our results to arbitrary rank.http://link.springer.com/article/10.1007/JHEP07(2019)178F-TheoryField Theories in Higher DimensionsM-TheorySupersymmetric Gauge Theory |
| spellingShingle | Lakshya Bhardwaj Patrick Jefferson Classifying 5d SCFTs via 6d SCFTs: rank one Journal of High Energy Physics F-Theory Field Theories in Higher Dimensions M-Theory Supersymmetric Gauge Theory |
| title | Classifying 5d SCFTs via 6d SCFTs: rank one |
| title_full | Classifying 5d SCFTs via 6d SCFTs: rank one |
| title_fullStr | Classifying 5d SCFTs via 6d SCFTs: rank one |
| title_full_unstemmed | Classifying 5d SCFTs via 6d SCFTs: rank one |
| title_short | Classifying 5d SCFTs via 6d SCFTs: rank one |
| title_sort | classifying 5d scfts via 6d scfts rank one |
| topic | F-Theory Field Theories in Higher Dimensions M-Theory Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP07(2019)178 |
| work_keys_str_mv | AT lakshyabhardwaj classifying5dscftsvia6dscftsrankone AT patrickjefferson classifying5dscftsvia6dscftsrankone |