Systematic Statistical Study of NAHE Based String Models

We are conducting a systematic study of the phenomenological properties of models on the region of the string landscape occupied by weak coupled heterotic strings in the free fermionic formalism. Specifically, we are examining the statistics of phenomenological properties, including of the superpotential, of the collection of models formed as extensions of the Nanopoulos, Antoniadis, Hagelin, and Ellis (NAHE) set of free fermionic basis vectors. The NAHE he observable gauge group is SO(10) with N=1 supersymmetry. We systematically generate all possible sets of free fermionic basis vector extensions to the NAHE set that reduce the SO(10) model to Flipped SU(5) models, Left-Right Symmetric (Pati-Salam-like) models, and MSSM-like models. (Several of such models have been constructed and studied individually by various research groups in the past.) All possible order-2 through order-4 basis vector extensions consistent with SO(10) breaking and modular invariance were constructed as part of a 2007 REU summer project with graduate students at Baylor University. Systematic generation and statistics collection of the related models has begun. Generation of additional higher order basis vector extensions is in process.