String Derived MSSM and M–theory Unification

The recent conjecture of possible equivalence between the string scale MS and the minimal supersymmetric standard model unification scale MU ≈ 2.5× 1016 GeV is considered in the context of string models. This conjecture suggests that the observable gauge group just below the string scale should be SU(3)C× SU(2)L×U(1)Y and the spectrum of the observable sector should consist solely of the MSSM spectrum. We demonstrate that string models can actually be constructed that possess these observable features. Two aspects generic to many classes of three family SU(3)C ×SU(2)L×U(1)Y string models are both an extra local anomalous U(1)A and numerous (often fractionally charged) exotic particles beyond the MSSM. Thus, for these classes, the key to obtaining an MS = MU ≈ 2.5× 1016 GeV string model is the existence of F– and D–flat directions that near the string scale can simultaneously break the anomalous U(1) and give mass to all exotic observable particles, decoupling them from the low energy spectrum. In this letter we show, in the context of free fermionic strings, that string models with flat directions possessing these features do exist. We present one such string derived model in which all the observable states beyond the MSSM receive mass at the scale generated by the Fayet– Iliopoulos term. The associated F– and D–flat direction is proven flat to all orders of the superpotential. [email protected] [email protected] [email protected]