RSOS revisited

Abstract

We investigate the issues of unitarity and reality of the spectrum for the imaginary coupled affine Toda field theories based on a(1)((1)) and a(2)((2)) and the perturbed minimal models that arise from their various RSOS restrictions. We show that while all theories based on a(1)((1)) have real spectra in finite volume, the spectra of a(2)((2)) models is in general complex, with some exceptions. We also correct the S matrices conjectured earlier for the phi15 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. (C) 2002 Elsevier Science B.V. All rights reserved.