Effective potentials and kink spectra in non-integrable perturbed conformal field theories

We analyze the evolution of the eective potential and the particle spectrum of two- parameter families of non-integrable quantum eld theories. These theories are dened by deformations of conformal minimal models Mm by using the operators Φ1,3, Φ1,2 and Φ2,1. This study extends to all minimal models the analysis previously done for the classes of universality of the Ising, the Tricritical Ising and the RSOS models. We establish the sym- metry and the duality properties of the various models also identifying the limiting theories that emerge when m → ∞.