Boundary S matrix for the tricritical Ising model

The tricritical Ising model perturbed by the subleading energy operator Phi((3/5)) was known to be an integrable scattering theory of massive kinks,(14) and in fact it preserves supersymmetry. We consider here the model defined on the half-plane with a boundary and compute the associated factorizable boundary S matrix. The conformal boundary conditions of this model are identified and the corresponding S matrices are found. We also show how some of these S matrices can be perturbed and generate ''flows'' between different boundary conditions.