EXACT RESONANCE ADE S-MATRICES AND THEIR RENORMALIZATION-GROUP TRAJECTORIES

We introduce the ADE resonance factorized models as an appropriate analytical continuation of the Toda S-matrices to the complex values of their coupling constant. An investigation of the associated Casimir energy, via the thermodynamic Bethe ansatz, reveals a rich pattern of renormalization group trajectories interpolating between the central charges of the G1 x G(k)/G(k+1) GKO coset models. We have also constructed the simplest resonance factorized model satisfying the ''phi3''-property. From this resonance scattering, we predict new flows in non-unitary minimal models.