An SU(2) gauge theory with one Sym^k half-hypermultiplet and N fundamental half-hypermultiplets yields isolated symplectic singularities for k=1,3,5,7, with k=5,7 giving the new families hSO(N) and iSO(N).
Higgs,Broken Symmetries and the Masses of Gauge Bosons,Phys
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New symplectic singularities from $SU(2)$ gauge theories
An SU(2) gauge theory with one Sym^k half-hypermultiplet and N fundamental half-hypermultiplets yields isolated symplectic singularities for k=1,3,5,7, with k=5,7 giving the new families hSO(N) and iSO(N).