(5d RG-flow) trees in the tropical rain forest

Author: 

van Beest, M
Bourget, A
Eckhard, J
Schäfer-Nameki, S

Publication Date: 

25 March 2021

Journal: 

Journal of High Energy Physics

Last Updated: 

2021-10-11T19:17:52.217+01:00

Issue: 

3

Volume: 

2021

DOI: 

10.1007/JHEP03(2021)241

abstract: 

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.

Symplectic id: 

1146629

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article