Author
van Beest, M
Bourget, A
Eckhard, J
Schafer-Nameki, S
Journal title
Journal of High Energy Physics
DOI
10.1007/JHEP11(2020)124
Issue
11
Volume
2020
Last updated
2024-02-17T15:17:11.927+00:00
Abstract
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.

Symplectic ID
1126473
Favourite
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Publication type
Journal Article
Publication date
24 Nov 2020
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