Abstract
Supersymmetric composite models with preons in either of two hypercolor representations R/sub 1/ and R/sub 2/ such that R/sub 1/ x R/sub 2/ x R/sub 2/contains1 are studied. Chirality preservation is investigated by using the 't Hooft anomaly-matching equations and the decoupling theorem. No solutions to these equations are found if R symmetry is assumed to survive supersymmetry breaking. Solutions exist if R symmetry is assumed to break, and the embedding of SU(3) x SU(2) x U(1) in the chiral-symmetry group is considered.
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