We present a catalog of fermions allowed by the standard model. These new fermious are restricted to sets which are anomaly free, vector-like with respect to electric charge and color, and have either ΔIW = 0 (totally vector-like) or ΔIW = 12 (chiral) (masses). We list some simple examples where the anomaliesof the leptons (quarks) cancel among themselves as well as against each other.
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Fishbane et al. (1984) studied this question.
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