non-standard electric charges and must be discarded as “exotics.” From the set with Standard Model hypercharge assignments we can identify the surviving couplings of (\[Wfull\]). In all, this process resulted in 35 distinct field assignment possibilities, each having as a minimum the couplings $\lambda_T$, $\lambda_2$ and $\lambda_3$ – the minimum set to generate the triplet see-saw and the mass pattern of (\[lambdaT1\]). Though these couplings are not enough to generate the perturbations on the bimaximal texture, nor do they include the couplings needed to generate charged lepton masses or $\mu$-terms to break electroweak symmetry, they still represent a complete set of needed couplings to explain the smallness of neutrino masses generally – something that a more exhaustive search of a whole class for the “standard” seesaw failed to achieve [@Giedt:2005vx].

None of the 35 possibilities allowed for all of the couplings of (\[Wfull\]), and 12 had no other couplings than the minimal set. This is yet another example of how selection rules of the underlying conformal field theory often forbid operators that would otherwise be allowed by gauge invariance in the 4D theory. Rather than present the various features of all of these assignments, we instead point out a few 