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We present examples of 5d SCFTs that serve as counter-examples to a recentlyactively studied conjecture according to which it should be possible to obtainall 5d SCFTs by integrating out BPS particles from 6d SCFTs compactified on acircle. We further observe that it is possible to obtain these 5d SCFTs from 6dSCFTs if one allows integrating out BPS strings as well. Based on thisobservation, we propose a revised version of the conjecture according to whichit should be possible to obtain all 5d SCFTs by integrating out both BPSparticles and BPS strings from 6d SCFTs compactified on a circle. We describe ageneral procedure to integrate out BPS strings from a 5d theory once ageometric description of the 5d theory is given. We also discuss theconsequences of the revised conjecture for the classification program of 5dSCFTs.

Do all 5d SCFTs descend from 6d SCFTs?