RSOS revisited Original Research Article

We investigate the issues of unitarity and reality of the spectrum for the imaginary coupled affine Toda field theories based on a1(1) and a2(2) and the perturbed minimal models that arise from their various RSOS restrictions. We show that while all theories based on a1(1) have real spectra in finite volume, the spectra of a2(2) models is in general complex, with some exceptions. We also correct the S matrices conjectured earlier for the φ15 perturbations of minimal models and give evidence for a conjecture that the RSOS spectra can be obtained as suitable projections of the folded ATFTs in finite volume.