Just what does the axial symmetry mean for supersymmetry. Might it somehow change the
one to one correspondence of bosons and fermions in Supersymmetry? Supersymmetry has separate left and right handed sneutrinos. Except of course sneutrinos are scalars, and the left and right handness doesn't belong the sneutrino but only the there fermion partners the neutrino. Having both left and right handed Sneutrinos in a theory seems somewhat wrong to me, so i want to look into this more deeply.