Hidden Sector Gaugino Condensation and the Observable World

We study the phenomenology of a class of models describing modular invariant gaugino condensation in the hidden sector of a low-energy effective theory derived from the heterotic string. Placing simple demands on the resulting observable sector - such as proper electroweak symmetry-breaking, superpartner spectra consistent with current limits and neutralino relic densities of an acceptable magnitude - results in significant restrictions on the possible configurations of the hidden sector.