Journal article

(Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest

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.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

van Beest, M., Bourget, A., Eckhard, J., & Schafer-Nameki, S. (2020). (Symplectic) leaves and (5d Higgs) branches in the Poly(go)nesian Tropical Rain Forest. Journal of High Energy Physics, 2020(11).

MLA Style

van Beest, M, et al. “(Symplectic) Leaves and (5d Higgs) Branches in the Poly(Go)Nesian Tropical Rain Forest.” Journal of High Energy Physics, vol. 2020, no. 11, 2020.

Chicago Style

Beest, M van, A Bourget, J Eckhard, and S Schafer-Nameki. 2020. “(Symplectic) Leaves and (5d Higgs) Branches in the Poly(Go)Nesian Tropical Rain Forest.” Journal of High Energy Physics 2020 (11).
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Files:: Beest2020_Article_SymplecticLeavesAnd5dHiggsBran (1).pdf

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Publisher copy:: 10.1007/JHEP11(2020)124

Authors

+ van Beest, M More by this author

Role:: Author

+ Bourget, A More by this author

Role:: Author
ORCID:: 0000-0003-1408-4615

+ Eckhard, J More by this author

Role:: Author

+ Schafer-Nameki, S More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Publisher:: Springer
Journal:: Journal of High Energy Physics More from this journal
Volume:: 2020
Issue:: 11
Article number:: 124
Publication date:: 2020-11-24
Acceptance date:: 2020-10-05
DOI:: 10.1007/JHEP11(2020)124
EISSN:: 1029-8479

Language:: English
Keywords:: FFR
Pubs id:: 1126473
Local pid:: pubs:1126473
Deposit date:: 2020-11-27
ARK identifier:: ark:/29072/ora_910f94d9f4e04d49a997324c2371928a

Terms of use

Copyright holder:: van Beest et al.
Copyright date:: 2020
Rights statement:: Copyright © 2020 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Licence:: CC Attribution (CC BY)

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