The interplay between the 't Hooft anomaly constraints and the Nambu-Goldstone mechanism in supersymmetric composite models

Abstract

We study the interplay of the 't Hooft anomaly matching constraints and the Numbu-Goldstone mechanism in a class of recently proposed supersymmetric composite models for quarks and leptons with spontaneously broken global symmetries. We find examples in which the set of Nambu-Goldstone fermions is larger than, the same as, and smaller than the set of massless fermions which satisfy the 't Hooft constraints. We discuss the implications for composite model building and generation structure, and give three different global symmetry patterns which yield three generations of quarks and leptons. In particular, we find a minimal solution with all U(1)'s broken in which there are exactly three generations of quarks and leptons.