(5d RG-flow) Trees in the Tropical Rain Forest

Understand

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 arXiv:2008.05577, 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.