M–fluences on String Model Building

Common to many classes of three family SU(3)C × SU(2)L ×U(1)Y string models are an additional anomalous U(1)A and numerous, often fractionally charged, exotic particles beyond the minimal supersymmetric standard model (MSSM). I present one string model with both of these properties. Using this model as an example, I show how sometimes (near) string scale vacuum expectation values that are both D– and F–flat (to all orders in the superpotential) can simultaneously break the anomalous U(1)A and give heavy mass to all phenomenologically dangerous exotic states, decoupling them from the low energy spectrum. For this model, some anomaly cancelling directions actually decouple all MSSM exotics, producing the MSSM as the effective field theory just below the string scale. This model realizes Witten’s conjecture of possible equivalence between the string scale MS and the MSSM unification scale MMSSM. Talk presented at CPT ’98, Bloomington, Indiana, 6–8 November 1998