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The purpose of this short note is to highlight a particular phenomenon whichconcerns the Higgs branch of a certain family of 4d N = 2 theories with SO(2N)flavour symmetry. By studying the Higgs branch as an algebraic variety throughHilbert series techniques we find that it is not a single hyperkahler cone butrather the union of two cones with intersection a hyperkahler subvariety whichwe specify. This remarkable phenomenon is not only interesting per se but playsa crucial role in understanding the structure of all Higgs branches that aregenerated by mesons.

A tale of two cones: the Higgs Branch of Sp(n) theories with 2n flavours