Lorentz Violation and Finsler Geometry
Dr. Eric Mayes
Texas A&M University

      In recent years, intersecting D-brane models have provided an exciting way to construct string-theory vacua with desirable phenomenological properties, namely those which correspond closely to our universe. Our recent progress in constructing such models will be discussed. In particular, two types of models will be described. First, I will discuss an MSSM-like model from intersecting D-branes in Type IIA theory where the D-branes wrap rigid 3-cycles. Because the 3-cycles are rigid, there are no extra massless fields in the adjoint representation, arising as open-string moduli. The model constructed has four generations of MSSM matter plus right-handed neutrinos. Furthermore, the tree-level gauge couplings are automatically unified at the string scale. I will also discuss a intersecting D6-brane model in Type IIA string theory with three-generations of quarks and leptons. We find that gauge coupling unification may be achieved and that the correct SM quark masses and mixings, and the tau lepton mass may be obtained. Finally, we calculate the supersymmetry breaking soft terms and the corresponding low-energy superpartner spectrum.