  We construct four dimensional intersecting D6-brane models that have locally
the spectrum of the N=1 Supersymmetric Standard Model. All open {\em visible}
string sectors share the same N=1 supersymmetry. As expected in these
supersymmetric classes of models, where the D6-branes wrap a toroidal
orientifold of type IIA, the hierarchy may be stabilized if the string scale is
low, e.g. below 30 TeV. We analyze the breaking of supersymmetry in the
vicinity of the supersymmetric point by turning on complex structure
deformations as Fayet-Iliopoulos terms. Positive masses for all squarks and
sleptons, to avoid charge/colour breaking minima, may be reached when also two
loop contributions may be included. In the ultimate version of the present
models N=1 supersymmetry may be broken by gauge mediation. The constructions
with four, five and six stacks of D6-branes at $M_s$ are build directly. Next
by the use of brane recombination we are able to show that there is a
continuous, RR homology flow, between six, five and four stack models.
Moreover, we examine the gauge coupling constants of the Standard Model
$SU(3)_C$, $SU(2)_L$, $U(1)_Y$ at the string scale in the presence of a
non-zero antisymmetric NS B-field.
