Abstract
We show that there are two different soliton scattering theories for the supersymmetric perturbation of the tricritical Ising model, each associated with a projection of the full theory onto a local field theory. The theory discussed in detail in this letter is described by a super-Landau-Ginzburg action. It corresponds to an integrable deformation of the Neveu-Schwarz sector of the conformal field theory, where supersymmetry acts locally. This is opposed to the scattering theory discussed in the literature, which is described by a Landau-Ginzburg action with a single scalar field upon which supersymmetry acts nonlocally. We find the soliton spectrum and the purely elastic S-matrix for the theory described by a super-Landau-Ginzburg action.
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