Critical RSOS models in external fields Original Research Article

We suggest a new family of unitary RSOS scattering models which is obtained by placing the SO(N) critical models in an “electric” or “magnetic” field. These fields are associated with two operators from the space of the SO(N) RUT corresponding to the highest weight of the vector representation of SO(N). A perturbation by the external fields destroys the Weyl group symmetry of the original statistical model. We show that the resulting kink scattering theories can be viewed as affine imaginary Toda models for non-simply-laced and twisted algebras taken at rational values (roots of unity) of q-parameter. We construct the fundamental kink S-matrices for these models. At the levels k = 1, 2, ∞ our answers match the known results for the sine-Gordon, Z2N parafermions and free fermions, respectively. As a by-product in the SO(4) case we obtain an RSOS S-matrix describing an integrable coupling of two minimal CFT.