Abstract :
An exact S-matrix is conjectured for the imaginary coupled d4(3) affine Toda field theory, using the Uq(g2(1)) symmetry. It is shown that this S-matrix is consistent with the results for the case of real coupling using the breather-particle correspondence. For q a root of unity it is argued that the theory can be restricted to yield Φ(11∥14) perturbations of WA2 minimal models and the restriction is performed for the (3,p′) minimal models