(Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest
We derive the structure of the Higgs branch of 5d superconformal field theories or gauge theories from their realization as a generalized toric polygon (or dot diagram). This approach is motivated by a dual, tropical curve decomposition of the (p, q) 5-brane-web system. We define an edge coloring, w...
| Main Authors: | , , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2020
|
| _version_ | 1797082083859890176 |
|---|---|
| author | van Beest, M Bourget, A Eckhard, J Schafer-Nameki, S |
| author_facet | van Beest, M Bourget, A Eckhard, J Schafer-Nameki, S |
| author_sort | van Beest, M |
| collection | OXFORD |
| description | We derive the structure of the Higgs branch of 5d superconformal field theories or gauge theories from their realization as a generalized toric polygon (or dot diagram). This approach is motivated by a dual, tropical curve decomposition of the (p, q) 5-brane-web system. We define an edge coloring, which provides a decomposition of the generalized toric polygon into a refined Minkowski sum of sub-polygons, from which we compute the magnetic quiver. The Coulomb branch of the magnetic quiver is then conjecturally identified with the 5d Higgs branch. Furthermore, from partial resolutions, we identify the symplectic leaves of the Higgs branch and thereby the entire foliation structure. In the case of strictly toric polygons, this approach reduces to the description of deformations of the Calabi-Yau singularities in terms of Minkowski sums.
|
| first_indexed | 2024-03-07T01:23:12Z |
| format | Journal article |
| id | oxford-uuid:910f94d9-f4e0-4d49-a997-324c2371928a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:23:12Z |
| publishDate | 2020 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:910f94d9-f4e0-4d49-a997-324c2371928a2022-03-26T23:16:04Z(Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain ForestJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:910f94d9-f4e0-4d49-a997-324c2371928aEnglishSymplectic ElementsSpringer2020van Beest, MBourget, AEckhard, JSchafer-Nameki, SWe derive the structure of the Higgs branch of 5d superconformal field theories or gauge theories from their realization as a generalized toric polygon (or dot diagram). This approach is motivated by a dual, tropical curve decomposition of the (p, q) 5-brane-web system. We define an edge coloring, which provides a decomposition of the generalized toric polygon into a refined Minkowski sum of sub-polygons, from which we compute the magnetic quiver. The Coulomb branch of the magnetic quiver is then conjecturally identified with the 5d Higgs branch. Furthermore, from partial resolutions, we identify the symplectic leaves of the Higgs branch and thereby the entire foliation structure. In the case of strictly toric polygons, this approach reduces to the description of deformations of the Calabi-Yau singularities in terms of Minkowski sums. |
| spellingShingle | van Beest, M Bourget, A Eckhard, J Schafer-Nameki, S (Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest |
| title | (Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest |
| title_full | (Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest |
| title_fullStr | (Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest |
| title_full_unstemmed | (Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest |
| title_short | (Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest |
| title_sort | symplectic leaves and 5d higgs branches in the poly go nesian tropical rain forest |
| work_keys_str_mv | AT vanbeestm symplecticleavesand5dhiggsbranchesinthepolygonesiantropicalrainforest AT bourgeta symplecticleavesand5dhiggsbranchesinthepolygonesiantropicalrainforest AT eckhardj symplecticleavesand5dhiggsbranchesinthepolygonesiantropicalrainforest AT schafernamekis symplecticleavesand5dhiggsbranchesinthepolygonesiantropicalrainforest |