Supersymmetric theory of flavor and R parity

We construct a renormalizable, supersymmetric theory of flavor and R parity based on the discrete flavor group (S-3)(3). The model can account for all the masses and mixing angles of the standard model, while maintaining sufficient squark degeneracy to circumvent the supersymmetric flavor problem. By starting with a simpler set of flavor symmetry-breaking fields than we have suggested previously, we construct an economical Froggatt-Nielsen sector that generates the desired elements of the fermion Yukawa matrices. With the particle content above the flavor scale completely specified, we show that all renormalizable R-parity-violating interactions involving the ordinary matter fields are forbidden by the flavor symmetry. Thus, R parity arises as an accidental symmetry in our model. Planck-suppressed operators that violate R parity, if present, can be rendered harmless by taking the flavor scale to be less than or similar to 8x10(10) GeV.