Quantum affine symmetry and scattering amplitudes of the imaginary coupled d4(3) affine Toda field theory

Abstract

An exact S-matrix is conjectured for the imaginary coupled d 4 (3) affine Toda field theory, using the U q ( g 2 (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 WA 2 minimal models and the restriction is performed for the (3, p′) minimal models