FREE-ENERGIES AND CRITICAL EXPONENTS OF THE A(1)((1)), B-N((1)), C-N((1)) AND D-N((1)) FACE MODELS

We obtain the free energies and critical exponents of models associate d with elliptic solutions of the star-triangle relation and reflection equation. The models considered are related to the affine Lie algebra s A(1)((1)), B-n((1)), C-n((1)) and D-n((1)). The bulk and surface spe cific heat exponents are seen to satisfy the scaling relation 2 alpha( s) = alpha(b) + 2. It follows from scaling relations that in regime II I the correlation length exponent nu is given by nu = (l + g)/2g, wher e l is the level and g is the dual Coxeter number. In regime II we fin d nu = (l + g)/2l.