A valence preon model for composite quarks and leptons is introduced in which Fermi statistics play a vital role in determining the metaflavor representations for the composite states. A computer search is carried out for solutions of the anomaly conditions of't Hooft, where the anomalies are matched on both the preon and composite levels. A number of new solutions are found, but none of them satisfy, in addition, the decoupling and $N$-independence conditions of't Hooft.

• Received 25 March 1981

DOI:https://doi.org/10.1103/PhysRevD.24.1969