(5d RG-flow) trees in the tropical rain forest
5d superconformal field theories (SCFTs) can be obtained from 6d SCFTs by circle compactification and mass deformation. Successive decoupling of hypermultiplet matter and RG-flow generates a decoupling tree of descendant 5d SCFTs. In this paper we determine the magnetic quivers and Hasse diagrams, t...
| Main Authors: | , , , |
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| פורמט: | Journal article |
| שפה: | English |
| יצא לאור: |
Springer
2021
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| _version_ | 1826294374429884416 |
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| author | van Beest, M Bourget, A Eckhard, J Schäfer-Nameki, S |
| author_facet | van Beest, M Bourget, A Eckhard, J Schäfer-Nameki, S |
| author_sort | van Beest, M |
| collection | OXFORD |
| description | 5d superconformal field theories (SCFTs) can be obtained from 6d SCFTs by circle compactification and mass deformation. Successive decoupling of hypermultiplet matter and RG-flow generates a decoupling tree of descendant 5d SCFTs. In this paper we determine the magnetic quivers and Hasse diagrams, that encode the Higgs branches of 5d SCFTs, for entire decoupling trees. Central to this undertaking is the approach in [1], which, starting from the generalized toric polygons (GTPs) dual to 5-brane webs/tropical curves, provides a systematic and succinct derivation of magnetic quivers and their Hasse diagrams. The decoupling in the GTP description is straightforward, and generalizes the standard flop transitions of curves in toric polygons. We apply this approach to a large class of 5d KK-theories, and compute the Higgs branches for their descendants. In particular we determine the decoupling tree for all rank 2 5d SCFTs. For each tree, we also identify the flavor symmetry algebras from the magnetic quivers, including non-simply-laced flavor symmetries. |
| first_indexed | 2024-03-07T03:44:39Z |
| format | Journal article |
| id | oxford-uuid:bf0ba372-dfda-477d-abf4-e0aff3e3a3dd |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:44:39Z |
| publishDate | 2021 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:bf0ba372-dfda-477d-abf4-e0aff3e3a3dd2022-03-27T05:44:31Z(5d RG-flow) trees in the tropical rain forestJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bf0ba372-dfda-477d-abf4-e0aff3e3a3ddEnglishSymplectic ElementsSpringer2021van Beest, MBourget, AEckhard, JSchäfer-Nameki, S5d superconformal field theories (SCFTs) can be obtained from 6d SCFTs by circle compactification and mass deformation. Successive decoupling of hypermultiplet matter and RG-flow generates a decoupling tree of descendant 5d SCFTs. In this paper we determine the magnetic quivers and Hasse diagrams, that encode the Higgs branches of 5d SCFTs, for entire decoupling trees. Central to this undertaking is the approach in [1], which, starting from the generalized toric polygons (GTPs) dual to 5-brane webs/tropical curves, provides a systematic and succinct derivation of magnetic quivers and their Hasse diagrams. The decoupling in the GTP description is straightforward, and generalizes the standard flop transitions of curves in toric polygons. We apply this approach to a large class of 5d KK-theories, and compute the Higgs branches for their descendants. In particular we determine the decoupling tree for all rank 2 5d SCFTs. For each tree, we also identify the flavor symmetry algebras from the magnetic quivers, including non-simply-laced flavor symmetries. |
| spellingShingle | van Beest, M Bourget, A Eckhard, J Schäfer-Nameki, S (5d RG-flow) trees in the tropical rain forest |
| title | (5d RG-flow) trees in the tropical rain forest |
| title_full | (5d RG-flow) trees in the tropical rain forest |
| title_fullStr | (5d RG-flow) trees in the tropical rain forest |
| title_full_unstemmed | (5d RG-flow) trees in the tropical rain forest |
| title_short | (5d RG-flow) trees in the tropical rain forest |
| title_sort | 5d rg flow trees in the tropical rain forest |
| work_keys_str_mv | AT vanbeestm 5drgflowtreesinthetropicalrainforest AT bourgeta 5drgflowtreesinthetropicalrainforest AT eckhardj 5drgflowtreesinthetropicalrainforest AT schafernamekis 5drgflowtreesinthetropicalrainforest |