HIERARCHICAL SUPERSYMMETRY BREAKING AND DYNAMIC DETERMINATION OF COMPACTIFICATION PARAMETERS BY NONPERTURBATIVE EFFECTS

The characteristics of the effective potentials coming from phenomenologically promising compactified superstring theories are examined, paying special attention to the supersymmetry breaking issue. We find a mechanism for generating the large gauge hierarchy by gaugino condensation effect in the case that the hidden sector possesses more than one condensate. We construct an explicit example based on orbifold compactification in which this is realized. Minimization of the effective potential not only determines the gauge hierarchy but also fixes other important parameters of the theory, in particular the gauge coupling constant at the unification point and the expectation values of the moduli which give the size and shape of the compactified space. These get reasonable values which may, in turn, lead to a determination of the family mass hierarchy. © 1990.