ANOMALOUS U(1) AND LOW-ENERGY PHYSICS - THE POWER OF D-FLATNESS AND HOLOMORPHY

In models with an anomalous abelian symmetry broken at a very large sc ale, we study which requirements to impose on the anomalous charges in order to prevent standard model fields from acquiring large vacuum ex pectation values. The use of holomorphic invariants to study D-flat di rections for the anomalous symmetry, proves to be a very powerful tool . We find that in order to forbid unphysical configurations at that sc ale, the superpotential must contain many interaction terms, including the usual Yukawa terms. Our analysis suggests that the anomalous char ge of the mu-term is zero. It is remarkable that, together with the se esaw mechanism, and mass hierarchies, this implies a natural conservat ion of R-parity. (C) 1997 Elsevier Science B.V.