Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities
In [1, 2] we proposed an approach based on graphs to characterize 5d superconformal field theories (SCFTs), which arise as compactifications of 6d N = (1, 0) SCFTs. The graphs, so-called combined fiber diagrams (CFDs), are derived using the realization of 5d SCFTs via M-theory on a non-compact Calab...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2020
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| _version_ | 1797102003402309632 |
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| author | Apruzzi, F Lawrie, C Lin, L Schafer-Nameki, S Wang, Y |
| author_facet | Apruzzi, F Lawrie, C Lin, L Schafer-Nameki, S Wang, Y |
| author_sort | Apruzzi, F |
| collection | OXFORD |
| description | In [1, 2] we proposed an approach based on graphs to characterize 5d superconformal field theories (SCFTs), which arise as compactifications of 6d N = (1, 0) SCFTs. The graphs, so-called combined fiber diagrams (CFDs), are derived using the realization of 5d SCFTs via M-theory on a non-compact Calabi-Yau threefold with a canonical singularity. In this paper we complement this geometric approach by connecting the CFD of an SCFT to its weakly coupled gauge theory or quiver descriptions and demonstrate that the CFD as recovered from the gauge theory approach is consistent with that as determined by geometry. To each quiver description we also associate a graph, and the embedding of this graph into the CFD that is associated to an SCFT provides a systematic way to enumerate all possible consistent weakly coupled gauge theory descriptions of this SCFT. Furthermore, different embeddings of gauge theory graphs into a fixed CFD can give rise to new UV-dualities for which we provide evidence through an analysis of the prepotential, and which, for some examples, we substantiate by constructing the M-theory geometry in which the dual quiver descriptions are manifest. |
| first_indexed | 2024-03-07T05:59:48Z |
| format | Journal article |
| id | oxford-uuid:ebc77bf3-40c8-4a31-8357-9feda193223c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:59:48Z |
| publishDate | 2020 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:ebc77bf3-40c8-4a31-8357-9feda193223c2022-03-27T11:12:30ZFibers add flavor. Part II. 5d SCFTs, gauge theories, and dualitiesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ebc77bf3-40c8-4a31-8357-9feda193223cEnglishSymplectic Elements at OxfordSpringer2020Apruzzi, FLawrie, CLin, LSchafer-Nameki, SWang, YIn [1, 2] we proposed an approach based on graphs to characterize 5d superconformal field theories (SCFTs), which arise as compactifications of 6d N = (1, 0) SCFTs. The graphs, so-called combined fiber diagrams (CFDs), are derived using the realization of 5d SCFTs via M-theory on a non-compact Calabi-Yau threefold with a canonical singularity. In this paper we complement this geometric approach by connecting the CFD of an SCFT to its weakly coupled gauge theory or quiver descriptions and demonstrate that the CFD as recovered from the gauge theory approach is consistent with that as determined by geometry. To each quiver description we also associate a graph, and the embedding of this graph into the CFD that is associated to an SCFT provides a systematic way to enumerate all possible consistent weakly coupled gauge theory descriptions of this SCFT. Furthermore, different embeddings of gauge theory graphs into a fixed CFD can give rise to new UV-dualities for which we provide evidence through an analysis of the prepotential, and which, for some examples, we substantiate by constructing the M-theory geometry in which the dual quiver descriptions are manifest. |
| spellingShingle | Apruzzi, F Lawrie, C Lin, L Schafer-Nameki, S Wang, Y Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities |
| title | Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities |
| title_full | Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities |
| title_fullStr | Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities |
| title_full_unstemmed | Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities |
| title_short | Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities |
| title_sort | fibers add flavor part ii 5d scfts gauge theories and dualities |
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