ANOMALOUS D-TERM, DYNAMICAL SUPERSYMMETRY BREAKING AND DYNAMICAL GAUGE COUPLINGS

We analyze the structure of the vacuum and supersymmetry breaking patt ern in Fayet-Iliopoulos models with dynamical gauge coupling and Planc k-scale value of the FI parameter. We show that in this class of model s supersymmetry is generically broken, but the mere presence of the D- term is not sufficient to stop the running away of the modulus respons ible for the value of the gauge coupling - the dilaton. To stabilize t he dilaton, one has to include an additional dilaton-dependent part in the superpotential. The presence of a large D-term gives rise to the mixed dilaton/D-term dominated scenarios of susy breaking, which allow horizontal hierarchy generation. Models that can serve as secluded se ctors in gauge mediation scenarios are discussed. It is shown that whe n the FI parameter and the gauge coupling are dynamical variables, the D-term dominated Universe does not allow for an inflationary period. (C) 1998 Elsevier Science B.V.