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We prove that   N  =  2   theories that arise by taking n free hypermultiplets and gauging a subgroup of   Sp  (  n  )   , the non-R global symmetry of the free theory, have a remaining global symmetry, which is a direct sum of unitary, symplectic, and special orthogonal factors. This implies that theories that have   SU  (  N  )   but not   U  (  N  )   global symmetries, such as Gaiotto's   T  N   theories, are not likely to arise as IR fixed points of RG flows from weakly coupled   N  =  2   gauge theories.

Global symmetries and $$\mathcal{N}=2$$ N = 2 SUSY