Critical RSOS Models in External Fields

Details Critical RSOS Models in External Fields Critical RSOS Models in External Fields

1995-03-10

arxiv.org/abs/hep-th/9503070v3

Nucl.Phys. B446 (1995) 387-404

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, latex (references added)

Scientific paper

10.1016/0550-3213(95)00214-D

We suggest a new family of unitary RSOS scattering models which is obtained by placing the SO(N) critical models in "electric" or "magnetic" field. These fields are associated with two operators from the space of the SO(N) RCFT corresponding to the highest weight of the vector representation of SO(N). A perturbation by the external fields destroys the Weyl group symmetry of an original statistical model. We show that the resulting kinks 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 $k=1, 2, \infty$ our answers match the known results for the Sine-Gordon, $Z_{2N}$ - 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.

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